Subgroup Information for GL2_11
Created in GAP4 by M. Schaps
- H
= C1=
SM_1 of order 1. Class: 1 Length: 1 Order: 1
G = (C11XC11):H =
SM_2 of order 121
k(B) = 121, l(B) = 1
- H
= C2=
SM_1 of order 2. Class: 2 Length: 1 Order: 2
G = (C11XC11):H =
SM_4 of order 242
k(B) = 62, l(B) = 2
- H
= C2=
SM_1 of order 2. Class: 3 Length: 132 Order: 2
G = (C11XC11):H =
SM_3 of order 242
k(B) = 77, l(B) = 2
- H
= C3=
SM_1 of order 3. Class: 4 Length: 55 Order: 3
G = (C11XC11):H =
SM_2 of order 363
k(B) = 43, l(B) = 3
- H
= C4=
SM_1 of order 4. Class: 5 Length: 55 Order: 4
G = (C11XC11):H =
SM_8 of order 484
k(B) = 34, l(B) = 4
Non-trivial central extensions by C2:
C8 =
SM_1
of order 8
, k(B2) = 34, l(B2) = 4;
SM_16
of order 968
- H
= C2XC2=
SM_2 of order 4. Class: 6 Length: 66 Order: 4
G = (C11XC11):H =
SM_9 of order 484
k(B) = 49, l(B) = 4
Maximal subgroups: H1 =C2
H2 =C2
H3 =C2
Non-trivial central extensions by C2:
C4XC2 =
SM_2
of order 8
, k(B2) = 49, l(B2) = 4;
SM_18
of order 968
D8 =
SM_3
of order 8
, k(B2) = 46, l(B2) = 1;
SM_20
of order 968
Q8 =
SM_4
of order 8
, k(B2) = 46, l(B2) = 1;
SM_21
of order 968
- H
= C5=
SM_1 of order 5. Class: 7 Length: 1 Order: 5
G = (C11XC11):H =
SM_4 of order 605
k(B) = 29, l(B) = 5
- H
= C5=
SM_1 of order 5. Class: 8 Length: 66 Order: 5
G = (C11XC11):H =
SM_6 of order 605
k(B) = 29, l(B) = 5
- H
= C5=
SM_1 of order 5. Class: 9 Length: 132 Order: 5
G = (C11XC11):H =
SM_3 of order 605
k(B) = 77, l(B) = 5
- H
= C5=
SM_1 of order 5. Class: 10 Length: 132 Order: 5
G = (C11XC11):H =
SM_5 of order 605
k(B) = 29, l(B) = 5
- H
= C6=
SM_2 of order 6. Class: 11 Length: 55 Order: 6
G = (C11XC11):H =
SM_6 of order 726
k(B) = 26, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= S3=
SM_1 of order 6. Class: 12 Length: 220 Order: 6
G = (C11XC11):H =
SM_5 of order 726
k(B) = 38, l(B) = 3
Maximal subgroups: H1 =C3
H2 =C2
H3 =C2
H4 =C2
- H
= Q8=
SM_4 of order 8. Class: 13 Length: 55 Order: 8
G = (C11XC11):H =
SM_37 of order 968
k(B) = 20, l(B) = 5
Maximal subgroups: H1 =C4
H2 =C4
H3 =C4
Non-trivial central extensions by C2:
(C4:C4) =
SM_4
of order 16
, k(B2) = 20, l(B2) = 5;
SM_109
of order 1936
- H
= C8=
SM_1 of order 8. Class: 14 Length: 55 Order: 8
G = (C11XC11):H =
SM_35 of order 968
k(B) = 23, l(B) = 8
Non-trivial central extensions by C2:
C16 =
SM_1
of order 16
, k(B2) = 23, l(B2) = 8;
SM_103
of order 1936
- H
= D8=
SM_3 of order 8. Class: 15 Length: 165 Order: 8
G = (C11XC11):H =
SM_36 of order 968
k(B) = 35, l(B) = 5
Maximal subgroups: H1 =C2XC2
H2 =C2XC2
H3 =C4
Non-trivial central extensions by C2:
(C2XC2):C4 =
SM_3
of order 16
, k(B2) = 35, l(B2) = 5;
SM_104
of order 1936
(C4:C4) =
SM_4
of order 16
, k(B2) = 35, l(B2) = 5;
SM_105
of order 1936
D16 =
SM_7
of order 16
, k(B2) = 32, l(B2) = 2;
SM_106
of order 1936
C8:C2 =
SM_8
of order 16
, k(B2) = 32, l(B2) = 2;
SM_107
of order 1936
GQ16 =
SM_9
of order 16
, k(B2) = 32, l(B2) = 2;
SM_108
of order 1936
- H
= C10=
SM_2 of order 10. Class: 16 Length: 1 Order: 10
G = (C11XC11):H =
SM_9 of order 1210
k(B) = 22, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 17 Length: 66 Order: 10
G = (C11XC11):H =
SM_10 of order 1210
k(B) = 22, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 18 Length: 132 Order: 10
G = (C11XC11):H =
SM_8 of order 1210
k(B) = 121, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 19 Length: 132 Order: 10
G = (C11XC11):H =
SM_15 of order 1210
k(B) = 25, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 20 Length: 132 Order: 10
G = (C11XC11):H =
SM_12 of order 1210
k(B) = 25, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 21 Length: 132 Order: 10
G = (C11XC11):H =
SM_17 of order 1210
k(B) = 49, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 22 Length: 132 Order: 10
G = (C11XC11):H =
SM_13 of order 1210
k(B) = 25, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 23 Length: 132 Order: 10
G = (C11XC11):H =
SM_11 of order 1210
k(B) = 22, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 24 Length: 132 Order: 10
G = (C11XC11):H =
SM_16 of order 1210
k(B) = 46, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= C10=
SM_2 of order 10. Class: 25 Length: 132 Order: 10
G = (C11XC11):H =
SM_14 of order 1210
k(B) = 25, l(B) = 10
Maximal subgroups: H1 =C5
H2 =C2
- H
= D10=
SM_1 of order 10. Class: 26 Length: 132 Order: 10
G = (C11XC11):H =
SM_7 of order 1210
k(B) = 31, l(B) = 4
Maximal subgroups: H1 =C5
H2 =C2
H3 =C2
H4 =C2
H5 =C2
H6 =C2
- H
= C12=
SM_2 of order 12. Class: 28 Length: 55 Order: 12
G = (C11XC11):H =
SM_21 of order 1452
k(B) = 22, l(B) = 12
Maximal subgroups: H1 =C6
H2 =C4
Non-trivial central extensions by C2:
C24 =
SM_2
of order 24
, k(B2) = 22, l(B2) = 12
- H
= GQ12=
SM_1 of order 12. Class: 29 Length: 110 Order: 12
G = (C11XC11):H =
SM_20 of order 1452
k(B) = 16, l(B) = 6
Maximal subgroups: H1 =C6
H2 =C4
H3 =C4
H4 =C4
Non-trivial central extensions by C2:
C3:C8 =
SM_1
of order 24
, k(B2) = 16, l(B2) = 6
- H
= D12=
SM_4 of order 12. Class: 30 Length: 110 Order: 12
G = (C11XC11):H =
SM_22 of order 1452
k(B) = 31, l(B) = 6
Maximal subgroups: H1 =S3
H2 =S3
H3 =C6
H4 =C2XC2
H5 =C2XC2
H6 =C2XC2
Non-trivial central extensions by C2:
C3:Q8 =
SM_4
of order 24
, k(B2) = 28, l(B2) = 3
S3XC4 =
SM_5
of order 24
, k(B2) = 31, l(B2) = 6
D24 =
SM_6
of order 24
, k(B2) = 28, l(B2) = 3
GQ12XC2 =
SM_7
of order 24
, k(B2) = 31, l(B2) = 6
D8PS3 =
SM_8
of order 24
, k(B2) = 28, l(B2) = 3
- H
= C15=
SM_1 of order 15. Class: 31 Length: 55 Order: 15
G = (C11XC11):H =
SM_3 of order 1815
k(B) = 23, l(B) = 15
Maximal subgroups: H1 =C5
H2 =C3
- H
= C8:C2=
SM_8 of order 16. Class: 32 Length: 165 Order: 16
G = (C11XC11):H =
SM_159 of order 1936
k(B) = 22, l(B) = 7
Maximal subgroups: H1 =D8
H2 =C8
H3 =Q8
Non-trivial central extensions by C2:
(C8XC2):C2 =
SM_9
of order 32
, k(B2) = 22, l(B2) = 7
(C8XC2).C2 =
SM_10
of order 32
, k(B2) = 22, l(B2) = 7
C8:C4 =
SM_13
of order 32
, k(B2) = 22, l(B2) = 7
- H
= C20=
SM_2 of order 20. Class: 33 Length: 55 Order: 20
G = (C11XC11):H of order 2420
k(B) = 26, l(B) = 20
Maximal subgroups: H1 =C10
H2 =C4
Non-trivial central extensions by C2:
C40 =
SM_2
of order 40
, k(B2) = 26, l(B2) = 20
- H
= C2XC2XC5=
SM_5 of order 20. Class: 34 Length: 66 Order: 20
G = (C11XC11):H of order 2420
k(B) = 29, l(B) = 20
Maximal subgroups: H1 =C10
H2 =C10
H3 =C10
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC5 =
SM_9
of order 40
, k(B2) = 29, l(B2) = 20
D8XC5 =
SM_10
of order 40
, k(B2) = 14, l(B2) = 5
Q8XC5 =
SM_11
of order 40
, k(B2) = 14, l(B2) = 5
- H
= GQ20=
SM_1 of order 20. Class: 35 Length: 66 Order: 20
G = (C11XC11):H of order 2420
k(B) = 14, l(B) = 8
Maximal subgroups: H1 =C10
H2 =C4
H3 =C4
H4 =C4
H5 =C4
H6 =C4
Non-trivial central extensions by C2:
C5:C8 =
SM_1
of order 40
, k(B2) = 14, l(B2) = 8
- H
= C2XC2XC5=
SM_5 of order 20. Class: 36 Length: 66 Order: 20
G = (C11XC11):H of order 2420
k(B) = 29, l(B) = 20
Maximal subgroups: H1 =C10
H2 =C10
H3 =C10
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC5 =
SM_9
of order 40
, k(B2) = 29, l(B2) = 20
D8XC5 =
SM_10
of order 40
, k(B2) = 14, l(B2) = 5
Q8XC5 =
SM_11
of order 40
, k(B2) = 14, l(B2) = 5
- H
= D10XC2=
SM_4 of order 20. Class: 37 Length: 66 Order: 20
G = (C11XC11):H of order 2420
k(B) = 29, l(B) = 8
Maximal subgroups: H1 =D10
H2 =D10
H3 =C10
H4 =C2XC2
H5 =C2XC2
H6 =C2XC2
H7 =C2XC2
H8 =C2XC2
Non-trivial central extensions by C2:
C5:Q8 =
SM_4
of order 40
, k(B2) = 26, l(B2) = 5
D10XC4 =
SM_5
of order 40
, k(B2) = 29, l(B2) = 8
C5:D8 =
SM_6
of order 40
, k(B2) = 26, l(B2) = 5
GQ20XC2 =
SM_7
of order 40
, k(B2) = 29, l(B2) = 8
C5:D8 =
SM_8
of order 40
, k(B2) = 26, l(B2) = 5
- H
= C2XC2XC5=
SM_5 of order 20. Class: 38 Length: 132 Order: 20
G = (C11XC11):H of order 2420
k(B) = 77, l(B) = 20
Maximal subgroups: H1 =C10
H2 =C10
H3 =C10
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC5 =
SM_9
of order 40
, k(B2) = 77, l(B2) = 20
D8XC5 =
SM_10
of order 40
, k(B2) = 62, l(B2) = 5
Q8XC5 =
SM_11
of order 40
, k(B2) = 62, l(B2) = 5
- H
= C2XC2XC5=
SM_5 of order 20. Class: 39 Length: 132 Order: 20
G = (C11XC11):H of order 2420
k(B) = 29, l(B) = 20
Maximal subgroups: H1 =C10
H2 =C10
H3 =C10
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC5 =
SM_9
of order 40
, k(B2) = 29, l(B2) = 20
D8XC5 =
SM_10
of order 40
, k(B2) = 14, l(B2) = 5
Q8XC5 =
SM_11
of order 40
, k(B2) = 14, l(B2) = 5
- H
= D24=
SM_6 of order 24. Class: 43 Length: 55 Order: 24
G = (C11XC11):H of order 2904
k(B) = 29, l(B) = 9
Maximal subgroups: H1 =D12
H2 =D12
H3 =C12
H4 =D8
H5 =D8
H6 =D8
Non-trivial central extensions by C2:
C3:SD16 =
SM_6
of order 48
, k(B2) = 26, l(B2) = 6
D48 =
SM_7
of order 48
, k(B2) = 26, l(B2) = 6
GQ48 =
SM_8
of order 48
, k(B2) = 26, l(B2) = 6
C3:(C4:C4) =
SM_13
of order 48
, k(B2) = 29, l(B2) = 9
C3:((C4XC2):C2)) =
SM_14
of order 48
, k(B2) = 29, l(B2) = 9
- H
= Q8:C3=
SM_3 of order 24. Class: 44 Length: 55 Order: 24
G = (C11XC11):H of order 2904
k(B) = 12, l(B) = 7
Maximal subgroups: H1 =Q8
H2 =C6
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C2:
- H
= C24=
SM_2 of order 24. Class: 45 Length: 55 Order: 24
G = (C11XC11):H of order 2904
k(B) = 29, l(B) = 24
Maximal subgroups: H1 =C12
H2 =C8
Non-trivial central extensions by C2:
C48 =
SM_2
of order 48
, k(B2) = 29, l(B2) = 24
- H
= C3:Q8=
SM_4 of order 24. Class: 46 Length: 55 Order: 24
G = (C11XC11):H of order 2904
k(B) = 14, l(B) = 9
Maximal subgroups: H1 =GQ12
H2 =GQ12
H3 =C12
H4 =Q8
H5 =Q8
H6 =Q8
Non-trivial central extensions by C2:
C3:(C4:C4) =
SM_12
of order 48
, k(B2) = 14, l(B2) = 9
C3:(C4:C4) =
SM_13
of order 48
, k(B2) = 14, l(B2) = 9
- H
= C5XC5=
SM_2 of order 25. Class: 47 Length: 66 Order: 25
G = (C11XC11):H of order 3025
k(B) = 49, l(B) = 25
Maximal subgroups: H1 =C5
H2 =C5
H3 =C5
H4 =C5
H5 =C5
H6 =C5
- H
= C30=
SM_4 of order 30. Class: 48 Length: 55 Order: 30
G = (C11XC11):H of order 3630
k(B) = 34, l(B) = 30
Maximal subgroups: H1 =C15
H2 =C10
H3 =C6
- H
= S3XC5=
SM_1 of order 30. Class: 49 Length: 220 Order: 30
G = (C11XC11):H of order 3630
k(B) = 22, l(B) = 15
Maximal subgroups: H1 =C15
H2 =C10
H3 =C10
H4 =C10
H5 =S3
- H
= Q8XC5=
SM_11 of order 40. Class: 50 Length: 55 Order: 40
G = (C11XC11):H of order 4840
k(B) = 28, l(B) = 25
Maximal subgroups: H1 =C20
H2 =C20
H3 =C20
H4 =Q8
Non-trivial central extensions by C2:
(C4:C4)XC5 =
SM_22
of order 80
, k(B2) = 28, l(B2) = 25
- H
= C40=
SM_2 of order 40. Class: 51 Length: 55 Order: 40
G = (C11XC11):H of order 4840
k(B) = 43, l(B) = 40
Maximal subgroups: H1 =C20
H2 =C8
Non-trivial central extensions by C2:
C80 =
SM_2
of order 80
, k(B2) = 43, l(B2) = 40
- H
= C5:D8=
SM_8 of order 40. Class: 52 Length: 66 Order: 40
G = (C11XC11):H of order 4840
k(B) = 25, l(B) = 13
Maximal subgroups: H1 =D10XC2
H2 =C2XC2XC5
H3 =GQ20
H4 =D8
H5 =D8
H6 =D8
H7 =D8
H8 =D8
Non-trivial central extensions by C2:
C5:(C4:C4) =
SM_12
of order 80
, k(B2) = 25, l(B2) = 13
(C5:D8)XC2 =
SM_14
of order 80
, k(B2) = 25, l(B2) = 13
C5:D16 =
SM_15
of order 80
, k(B2) = 16, l(B2) = 4
C5:(C8:C2) =
SM_16
of order 80
, k(B2) = 16, l(B2) = 4
C5:(C8.C2) =
SM_17
of order 80
, k(B2) = 16, l(B2) = 4
C5:GQ40 =
SM_18
of order 80
, k(B2) = 16, l(B2) = 4
C5:((C2XC2):C4) =
SM_19
of order 80
, k(B2) = 25, l(B2) = 13
- H
= D8XC5=
SM_10 of order 40. Class: 53 Length: 165 Order: 40
G = (C11XC11):H of order 4840
k(B) = 31, l(B) = 25
Maximal subgroups: H1 =C2XC2XC5
H2 =C2XC2XC5
H3 =C20
H4 =D8
Non-trivial central extensions by C2:
((C2XC2):C4)XC5 =
SM_21
of order 80
, k(B2) = 31, l(B2) = 25
(C4:C4)XC5 =
SM_22
of order 80
, k(B2) = 31, l(B2) = 25
D16XC5 =
SM_25
of order 80
, k(B2) = 16, l(B2) = 10
(C8:C2)XC5 =
SM_26
of order 80
, k(B2) = 16, l(B2) = 10
GQ16XC5 =
SM_27
of order 80
, k(B2) = 16, l(B2) = 10
- H
= (Q8:C3):C2=
SM_29 of order 48. Class: 55 Length: 55 Order: 48
G = (C11XC11):H of order 5808
k(B) = 18, l(B) = 8
Maximal subgroups: H1 =Q8:C3
H2 =C8:C2
H3 =C8:C2
H4 =C8:C2
H5 =D12
H6 =D12
H7 =D12
H8 =D12
Non-trivial central extensions by C2:
((Q8:C3)XC2).C2 =
SM_66
of order 96
, k(B2) = 18, l(B2) = 8
- H
= C3:SD16=
SM_6 of order 48. Class: 56 Length: 55 Order: 48
G = (C11XC11):H of order 5808
k(B) = 25, l(B) = 15
Maximal subgroups: H1 =C3:Q8
H2 =C24
H3 =D24
H4 =C8:C2
H5 =C8:C2
H6 =C8:C2
Non-trivial central extensions by C2:
C3:((C8XC2).C2) =
SM_23
of order 96
, k(B2) = 25, l(B2) = 15
C3:(C8:C4) =
SM_24
of order 96
, k(B2) = 25, l(B2) = 15
C3:((C8XC2):C2) =
SM_28
of order 96
, k(B2) = 25, l(B2) = 15
- H
= C2XC5XC5=
SM_5 of order 50. Class: 57 Length: 66 Order: 50
G = (C11XC11):H of order 6050
k(B) = 62, l(B) = 50
Maximal subgroups: H1 =C5XC5
H2 =C10
H3 =C10
H4 =C10
H5 =C10
H6 =C10
H7 =C10
- H
= C2XC5XC5=
SM_5 of order 50. Class: 58 Length: 132 Order: 50
G = (C11XC11):H of order 6050
k(B) = 77, l(B) = 50
Maximal subgroups: H1 =C5XC5
H2 =C10
H3 =C10
H4 =C10
H5 =C10
H6 =C10
H7 =C10
- H
= D10XC5=
SM_3 of order 50. Class: 59 Length: 132 Order: 50
G = (C11XC11):H of order 6050
k(B) = 35, l(B) = 20
Maximal subgroups: H1 =C5XC5
H2 =D10
H3 =C10
H4 =C10
H5 =C10
H6 =C10
H7 =C10
- H
= C60=
SM_4 of order 60. Class: 66 Length: 55 Order: 60
G = (C11XC11):H of order 7260
k(B) = 62, l(B) = 60
Maximal subgroups: H1 =C30
H2 =C20
H3 =C12
Non-trivial central extensions by C2:
SM_4
of order 120
, k(B2) = 62, l(B2) = 60
- H
= S3XC10=
SM_11 of order 60. Class: 67 Length: 110 Order: 60
G = (C11XC11):H of order 7260
k(B) = 35, l(B) = 30
Maximal subgroups: H1 =S3XC5
H2 =S3XC5
H3 =C30
H4 =C2XC2XC5
H5 =C2XC2XC5
H6 =C2XC2XC5
H7 =D12
Non-trivial central extensions by C2:
SM_21
of order 120
, k(B2) = 20, l(B2) = 15
SM_22
of order 120
, k(B2) = 35, l(B2) = 30
SM_23
of order 120
, k(B2) = 20, l(B2) = 15
SM_24
of order 120
, k(B2) = 35, l(B2) = 30
SM_25
of order 120
, k(B2) = 20, l(B2) = 15
- H
= GQ12XC7=
SM_1 of order 60. Class: 68 Length: 110 Order: 60
G = (C11XC11):H of order 7260
k(B) = 32, l(B) = 30
Maximal subgroups: H1 =C30
H2 =C20
H3 =C20
H4 =C20
H5 =GQ12
Non-trivial central extensions by C2:
SM_1
of order 120
, k(B2) = 32, l(B2) = 30
- H
= (C8:C2)XC5=
SM_26 of order 80. Class: 69 Length: 165 Order: 80
G = (C11XC11):H of order 9680
k(B) = 38, l(B) = 35
Maximal subgroups: H1 =D8XC5
H2 =C40
H3 =Q8XC5
H4 =C8:C2
Non-trivial central extensions by C2:
SM_52
of order 160
, k(B2) = 38, l(B2) = 35
SM_53
of order 160
, k(B2) = 38, l(B2) = 35
SM_56
of order 160
, k(B2) = 38, l(B2) = 35
- H
= D10XC10=
SM_14 of order 100. Class: 70 Length: 66 Order: 100
G = (C11XC11):H of order 12100
k(B) = 49, l(B) = 40
Maximal subgroups: H1 =D10XC5
H2 =D10XC5
H3 =C2XC5XC5
H4 =D10XC2
H5 =C2XC2XC5
H6 =C2XC2XC5
H7 =C2XC2XC5
H8 =C2XC2XC5
H9 =C2XC2XC5
Non-trivial central extensions by C2:
SM_27
of order 200
, k(B2) = 34, l(B2) = 25
SM_28
of order 200
, k(B2) = 49, l(B2) = 40
SM_29
of order 200
, k(B2) = 34, l(B2) = 25
SM_30
of order 200
, k(B2) = 49, l(B2) = 40
SM_31
of order 200
, k(B2) = 34, l(B2) = 25
- H
= C2XC2XC5XC5=
SM_16 of order 100. Class: 71 Length: 66 Order: 100
G = (C11XC11):H of order 12100
k(B) = 121, l(B) = 100
Maximal subgroups: H1 =C2XC5XC5
H2 =C2XC5XC5
H3 =C2XC5XC5
H4 =C2XC2XC5
H5 =C2XC2XC5
H6 =C2XC2XC5
H7 =C2XC2XC5
H8 =C2XC2XC5
H9 =C2XC2XC5
Non-trivial central extensions by C2:
SM_37
of order 200
, k(B2) = 121, l(B2) = 100
SM_38
of order 200
, k(B2) = 46, l(B2) = 25
SM_39
of order 200
, k(B2) = 46, l(B2) = 25
- H
= GQ20XC5=
SM_6 of order 100. Class: 72 Length: 66 Order: 100
G = (C11XC11):H of order 12100
k(B) = 46, l(B) = 40
Maximal subgroups: H1 =C2XC5XC5
H2 =GQ20
H3 =C20
H4 =C20
H5 =C20
H6 =C20
H7 =C20
Non-trivial central extensions by C2:
SM_15
of order 200
, k(B2) = 46, l(B2) = 40
- H
=
SM_5 of order 120. Class: 91 Length: 22 Order: 120
G = (C11XC11):H of order 14520
k(B) = 0, l(B) = 9
Maximal subgroups: H1 =Q8:C3
H2 =Q8:C3
H3 =Q8:C3
H4 =Q8:C3
H5 =Q8:C3
H6 =GQ20
H7 =GQ20
H8 =GQ20
H9 =GQ20
H10 =GQ20
H11 =GQ20
H12 =GQ12
H13 =GQ12
H14 =GQ12
H15 =GQ12
H16 =GQ12
H17 =GQ12
H18 =GQ12
H19 =GQ12
H20 =GQ12
H21 =GQ12
- H
=
SM_4 of order 120. Class: 92 Length: 55 Order: 120
G = (C11XC11):H of order 14520
k(B) = 121, l(B) = 120
Maximal subgroups: H1 =C60
H2 =C40
H3 =C24
Non-trivial central extensions by C2:
SM_4
of order 240
, k(B2) = 121, l(B2) = 120
- H
=
SM_21 of order 120. Class: 93 Length: 55 Order: 120
G = (C11XC11):H of order 14520
k(B) = 46, l(B) = 45
Maximal subgroups: H1 =GQ12XC7
H2 =GQ12XC7
H3 =C60
H4 =Q8XC5
H5 =Q8XC5
H6 =Q8XC5
H7 =C3:Q8
Non-trivial central extensions by C2:
SM_57
of order 240
, k(B2) = 46, l(B2) = 45
SM_58
of order 240
, k(B2) = 46, l(B2) = 45
- H
=
SM_23 of order 120. Class: 94 Length: 55 Order: 120
G = (C11XC11):H of order 14520
k(B) = 49, l(B) = 45
Maximal subgroups: H1 =S3XC10
H2 =S3XC10
H3 =C60
H4 =D8XC5
H5 =D8XC5
H6 =D8XC5
H7 =D24
Non-trivial central extensions by C2:
SM_51
of order 240
, k(B2) = 34, l(B2) = 30
SM_52
of order 240
, k(B2) = 34, l(B2) = 30
SM_53
of order 240
, k(B2) = 34, l(B2) = 30
SM_58
of order 240
, k(B2) = 49, l(B2) = 45
SM_59
of order 240
, k(B2) = 49, l(B2) = 45
- H
=
SM_15 of order 120. Class: 95 Length: 55 Order: 120
G = (C11XC11):H of order 14520
k(B) = 36, l(B) = 35
Maximal subgroups: H1 =Q8XC5
H2 =C30
H3 =C30
H4 =C30
H5 =C30
H6 =Q8:C3
Non-trivial central extensions by C2:
- H
=
SM_31 of order 200. Class: 96 Length: 66 Order: 200
G = (C11XC11):H of order 24200
k(B) = 77, l(B) = 65
Maximal subgroups: H1 =GQ20XC5
H2 =C2XC2XC5XC5
H3 =D10XC10
H4 =D8XC5
H5 =D8XC5
H6 =D8XC5
H7 =D8XC5
H8 =D8XC5
H9 =C5:D8
Non-trivial central extensions by C2:
SM_84
of order 400
, k(B2) = 77, l(B2) = 65
SM_86
of order 400
, k(B2) = 77, l(B2) = 65
SM_87
of order 400
, k(B2) = 32, l(B2) = 20
SM_88
of order 400
, k(B2) = 32, l(B2) = 20
SM_89
of order 400
, k(B2) = 32, l(B2) = 20
SM_90
of order 400
, k(B2) = 32, l(B2) = 20
SM_91
of order 400
, k(B2) = 77, l(B2) = 65
- H
=
SM_51 of order 240. Class: 103 Length: 55 Order: 240
G = (C11XC11):H of order 29040
k(B) = 77, l(B) = 75
Maximal subgroups: H1
H2
H3
H4 =(C8:C2)XC5
H5 =(C8:C2)XC5
H6 =(C8:C2)XC5
H7 =C3:SD16
Non-trivial central extensions by C2:
SM_135
of order 480
, k(B2) = 77, l(B2) = 75
SM_136
of order 480
, k(B2) = 77, l(B2) = 75
SM_140
of order 480
, k(B2) = 77, l(B2) = 75
- H
=
SM_103 of order 240. Class: 104 Length: 55 Order: 240
G = (C11XC11):H of order 29040
k(B) = 42, l(B) = 40
Maximal subgroups: H1
H2 =(C8:C2)XC5
H3 =(C8:C2)XC5
H4 =(C8:C2)XC5
H5 =S3XC10
H6 =S3XC10
H7 =S3XC10
H8 =S3XC10
H9 =(Q8:C3):C2
Non-trivial central extensions by C2:
SM_256
of order 480
, k(B2) = 42, l(B2) = 40
- H
=
SM_54 of order 600. Class: 109 Length: 22 Order: 600
G = (C11XC11):H of order 72600
k(B) = 0, l(B) = 45
Maximal subgroups: H1
H2
H3
H4
H5
H6
H7 =GQ20XC5
H8 =GQ20XC5
H9 =GQ20XC5
H10 =GQ20XC5
H11 =GQ20XC5
H12 =GQ20XC5
H13 =GQ12XC7
H14 =GQ12XC7
H15 =GQ12XC7
H16 =GQ12XC7
H17 =GQ12XC7
H18 =GQ12XC7
H19 =GQ12XC7
H20 =GQ12XC7
H21 =GQ12XC7
H22 =GQ12XC7
All computations performed in GAP4
[GAP 99] the GAP Group, Version 4.2, Aachen,St.Andrews ,1999.
http://www-gap.dcs.st-and.ac.uk/~gap
Last Updated June 16, '02 using BlockHtml.gap, created by M. Schaps