Subgroup Information for GL2_7
Created in GAP4 by M. Schaps
- H
= C1=
SM_1 of order 1. Class: 1 Length: 1 Order: 1
G = (C7XC7):H =
SM_2 of order 49 =
C7XC7
k(B) = 49, l(B) = 1
- H
= C2=
SM_1 of order 2. Class: 2 Length: 1 Order: 2
G = (C7XC7):H =
SM_4 of order 98 =
(C7XC7):C2
k(B) = 26, l(B) = 2
- H
= C2=
SM_1 of order 2. Class: 3 Length: 56 Order: 2
G = (C7XC7):H =
SM_3 of order 98 =
D14XC7
k(B) = 35, l(B) = 2
- H
= C3=
SM_1 of order 3. Class: 4 Length: 1 Order: 3
G = (C7XC7):H =
SM_4 of order 147
k(B) = 19, l(B) = 3
- H
= C3=
SM_1 of order 3. Class: 5 Length: 28 Order: 3
G = (C7XC7):H =
SM_5 of order 147
k(B) = 19, l(B) = 3
- H
= C3=
SM_1 of order 3. Class: 6 Length: 56 Order: 3
G = (C7XC7):H =
SM_3 of order 147
k(B) = 35, l(B) = 3
- H
= C4=
SM_1 of order 4. Class: 7 Length: 21 Order: 4
G = (C7XC7):H =
SM_8 of order 196
k(B) = 16, l(B) = 4
Non-trivial central extensions by C2:
C8 =
SM_1
of order 8
, k(B2) = 16, l(B2) = 4;
SM_17
of order 392
- H
= C2XC2=
SM_2 of order 4. Class: 8 Length: 28 Order: 4
G = (C7XC7):H =
SM_9 of order 196
k(B) = 25, 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) = 25, l(B2) = 4;
SM_19
of order 392
D8 =
SM_3
of order 8
, k(B2) = 22, l(B2) = 1;
SM_21
of order 392
Q8 =
SM_4
of order 8
, k(B2) = 22, l(B2) = 1;
SM_22
of order 392
- H
= C6=
SM_2 of order 6. Class: 9 Length: 1 Order: 6
G = (C7XC7):H =
SM_13 of order 294
k(B) = 14, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 10 Length: 28 Order: 6
G = (C7XC7):H =
SM_14 of order 294
k(B) = 14, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 11 Length: 56 Order: 6
G = (C7XC7):H =
SM_11 of order 294
k(B) = 17, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 12 Length: 56 Order: 6
G = (C7XC7):H =
SM_9 of order 294
k(B) = 25, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 13 Length: 56 Order: 6
G = (C7XC7):H =
SM_12 of order 294
k(B) = 17, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 14 Length: 56 Order: 6
G = (C7XC7):H =
SM_10 of order 294
k(B) = 22, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= C6=
SM_2 of order 6. Class: 15 Length: 56 Order: 6
G = (C7XC7):H =
SM_8 of order 294
k(B) = 49, l(B) = 6
Maximal subgroups: H1 =C3
H2 =C2
- H
= S3=
SM_1 of order 6. Class: 16 Length: 56 Order: 6
G = (C7XC7):H =
SM_7 of order 294
k(B) = 20, l(B) = 3
Maximal subgroups: H1 =C3
H2 =C2
H3 =C2
H4 =C2
- H
= Q8=
SM_4 of order 8. Class: 18 Length: 14 Order: 8
G = (C7XC7):H =
SM_38 of order 392
k(B) = 11, 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) = 11, l(B2) = 5;
SM_110
of order 784
- H
= C8=
SM_1 of order 8. Class: 19 Length: 21 Order: 8
G = (C7XC7):H =
SM_36 of order 392
k(B) = 14, l(B) = 8
Non-trivial central extensions by C2:
C16 =
SM_1
of order 16
, k(B2) = 14, l(B2) = 8;
SM_104
of order 784
- H
= D8=
SM_3 of order 8. Class: 20 Length: 42 Order: 8
G = (C7XC7):H =
SM_37 of order 392
k(B) = 20, 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) = 20, l(B2) = 5;
SM_105
of order 784
(C4:C4) =
SM_4
of order 16
, k(B2) = 20, l(B2) = 5;
SM_106
of order 784
D16 =
SM_7
of order 16
, k(B2) = 17, l(B2) = 2;
SM_107
of order 784
C8:C2 =
SM_8
of order 16
, k(B2) = 17, l(B2) = 2;
SM_108
of order 784
GQ16 =
SM_9
of order 16
, k(B2) = 17, l(B2) = 2;
SM_109
of order 784
- H
= C3XC3=
SM_2 of order 9. Class: 21 Length: 28 Order: 9
G = (C7XC7):H =
SM_9 of order 441
k(B) = 25, l(B) = 9
Maximal subgroups: H1 =C3
H2 =C3
H3 =C3
H4 =C3
Non-trivial central extensions by C3:
C9XC3 =
SM_2
of order 27
, k(B2) = 25, l(B2) = 9;
SM_20
of order 1323
(C3XC3):C3 =
SM_3
of order 27
, k(B2) = 17, l(B2) = 1;
SM_21
of order 1323
C9.C3 =
SM_4
of order 27
, k(B2) = 17, l(B2) = 1;
SM_25
of order 1323
- H
= C12=
SM_2 of order 12. Class: 22 Length: 21 Order: 12
G = (C7XC7):H =
SM_34 of order 588
k(B) = 16, l(B) = 12
Maximal subgroups: H1 =C6
H2 =C4
Non-trivial central extensions by C2:
C24 =
SM_2
of order 24
, k(B2) = 16, l(B2) = 12;
SM_75
of order 1176
- H
= C2XC2XC3=
SM_5 of order 12. Class: 23 Length: 28 Order: 12
G = (C7XC7):H =
SM_38 of order 588
k(B) = 19, l(B) = 12
Maximal subgroups: H1 =C6
H2 =C6
H3 =C6
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC3 =
SM_9
of order 24
, k(B2) = 19, l(B2) = 12;
SM_94
of order 1176
D8XC3 =
SM_10
of order 24
, k(B2) = 10, l(B2) = 3;
SM_96
of order 1176
Q8XC3 =
SM_11
of order 24
, k(B2) = 10, l(B2) = 3;
SM_97
of order 1176
- H
= GQ12=
SM_1 of order 12. Class: 24 Length: 28 Order: 12
G = (C7XC7):H =
SM_33 of order 588
k(B) = 10, 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) = 10, l(B2) = 6;
SM_74
of order 1176
- H
= C2XC2XC3=
SM_5 of order 12. Class: 25 Length: 28 Order: 12
G = (C7XC7):H =
SM_37 of order 588
k(B) = 19, l(B) = 12
Maximal subgroups: H1 =C6
H2 =C6
H3 =C6
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC3 =
SM_9
of order 24
, k(B2) = 19, l(B2) = 12;
SM_89
of order 1176
D8XC3 =
SM_10
of order 24
, k(B2) = 10, l(B2) = 3;
SM_91
of order 1176
Q8XC3 =
SM_11
of order 24
, k(B2) = 10, l(B2) = 3;
SM_92
of order 1176
- H
= D12=
SM_4 of order 12. Class: 26 Length: 28 Order: 12
G = (C7XC7):H =
SM_35 of order 588
k(B) = 19, 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) = 16, l(B2) = 3;
SM_76
of order 1176
S3XC4 =
SM_5
of order 24
, k(B2) = 19, l(B2) = 6;
SM_77
of order 1176
D24 =
SM_6
of order 24
, k(B2) = 16, l(B2) = 3;
SM_78
of order 1176
GQ12XC2 =
SM_7
of order 24
, k(B2) = 19, l(B2) = 6;
SM_79
of order 1176
D8PS3 =
SM_8
of order 24
, k(B2) = 16, l(B2) = 3;
SM_80
of order 1176
- H
= C2XC2XC3=
SM_5 of order 12. Class: 27 Length: 56 Order: 12
G = (C7XC7):H =
SM_36 of order 588
k(B) = 35, l(B) = 12
Maximal subgroups: H1 =C6
H2 =C6
H3 =C6
H4 =C2XC2
Non-trivial central extensions by C2:
C2XC4XC3 =
SM_9
of order 24
, k(B2) = 35, l(B2) = 12;
SM_83
of order 1176
D8XC3 =
SM_10
of order 24
, k(B2) = 26, l(B2) = 3;
SM_86
of order 1176
Q8XC3 =
SM_11
of order 24
, k(B2) = 26, l(B2) = 3;
SM_87
of order 1176
- H
= D16=
SM_7 of order 16. Class: 31 Length: 21 Order: 16
G = (C7XC7):H =
SM_161 of order 784
k(B) = 19, l(B) = 7
Maximal subgroups: H1 =D8
H2 =D8
H3 =C8
Non-trivial central extensions by C2:
(C8XC2):C2 =
SM_9
of order 32
, k(B2) = 19, l(B2) = 7;
SM_785
of order 1568
C8:C4 =
SM_14
of order 32
, k(B2) = 19, l(B2) = 7;
SM_786
of order 1568
D32 =
SM_18
of order 32
, k(B2) = 16, l(B2) = 4;
SM_787
of order 1568
C16:C2 =
SM_19
of order 32
, k(B2) = 16, l(B2) = 4;
SM_788
of order 1568
GQ32 =
SM_20
of order 32
, k(B2) = 16, l(B2) = 4;
SM_789
of order 1568
- H
= GQ16=
SM_9 of order 16. Class: 32 Length: 21 Order: 16
G = (C7XC7):H =
SM_162 of order 784
k(B) = 10, l(B) = 7
Maximal subgroups: H1 =C8
H2 =Q8
H3 =Q8
Non-trivial central extensions by C2:
(C8XC2).C2 =
SM_10
of order 32
, k(B2) = 10, l(B2) = 7;
SM_790
of order 1568
C8:C4 =
SM_14
of order 32
, k(B2) = 10, l(B2) = 7;
SM_791
of order 1568
- H
= C16=
SM_1 of order 16. Class: 33 Length: 21 Order: 16
G = (C7XC7):H =
SM_160 of order 784
k(B) = 19, l(B) = 16
Non-trivial central extensions by C2:
C32 =
SM_1
of order 32
, k(B2) = 19, l(B2) = 16;
SM_784
of order 1568
- H
= C2XC3XC3=
SM_5 of order 18. Class: 34 Length: 28 Order: 18
G = (C7XC7):H =
SM_36 of order 882
k(B) = 26, l(B) = 18
Maximal subgroups: H1 =C3XC3
H2 =C6
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C3:
C2XC3XC9 =
SM_9
of order 54
, k(B2) = 26, l(B2) = 18
((C3XC3):C3)XC2 =
SM_10
of order 54
, k(B2) = 10, l(B2) = 2
(C9:C3)XC2 =
SM_11
of order 54
, k(B2) = 10, l(B2) = 2
- H
= C2XC3XC3=
SM_5 of order 18. Class: 35 Length: 56 Order: 18
G = (C7XC7):H =
SM_35 of order 882
k(B) = 35, l(B) = 18
Maximal subgroups: H1 =C3XC3
H2 =C6
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C3:
C2XC3XC9 =
SM_9
of order 54
, k(B2) = 35, l(B2) = 18
((C3XC3):C3)XC2 =
SM_10
of order 54
, k(B2) = 19, l(B2) = 2
(C9:C3)XC2 =
SM_11
of order 54
, k(B2) = 19, l(B2) = 2
- H
= S3XC3=
SM_3 of order 18. Class: 36 Length: 56 Order: 18
G = (C7XC7):H =
SM_34 of order 882
k(B) = 20, l(B) = 9
Maximal subgroups: H1 =C3XC3
H2 =S3
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C3:
S3XC9 =
SM_4
of order 54
, k(B2) = 20, l(B2) = 9
- H
= Q8:C3=
SM_3 of order 24. Class: 41 Length: 14 Order: 24
G = (C7XC7):H =
SM_215 of order 1176
k(B) = 9, l(B) = 7
Maximal subgroups: H1 =Q8
H2 =C6
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C2:
- H
= Q8XC3=
SM_11 of order 24. Class: 42 Length: 14 Order: 24
G = (C7XC7):H =
SM_218 of order 1176
k(B) = 17, l(B) = 15
Maximal subgroups: H1 =C12
H2 =C12
H3 =C12
H4 =Q8
Non-trivial central extensions by C2:
GQ16XC3 =
SM_22
of order 48
, k(B2) = 17, l(B2) = 15
- H
= C24=
SM_2 of order 24. Class: 43 Length: 21 Order: 24
G = (C7XC7):H =
SM_213 of order 1176
k(B) = 26, l(B) = 24
Maximal subgroups: H1 =C12
H2 =C8
Non-trivial central extensions by C2:
C48 =
SM_2
of order 48
, k(B2) = 26, l(B2) = 24
- H
= D8PS3=
SM_8 of order 24. Class: 44 Length: 28 Order: 24
G = (C7XC7):H =
SM_216 of order 1176
k(B) = 17, l(B) = 9
Maximal subgroups: H1 =D12
H2 =GQ12
H3 =C2XC2XC3
H4 =D8
H5 =D8
H6 =D8
Non-trivial central extensions by C2:
C3:(C4:C4) =
SM_12
of order 48
, k(B2) = 17, l(B2) = 9
C3:((C4XC2):C2)) =
SM_14
of order 48
, k(B2) = 17, l(B2) = 9
C3:D16 =
SM_15
of order 48
, k(B2) = 11, l(B2) = 3
C3:SD16 =
SM_16
of order 48
, k(B2) = 11, l(B2) = 3
C3:(GQ16) =
SM_17
of order 48
, k(B2) = 11, l(B2) = 3
C3:GQ16 =
SM_18
of order 48
, k(B2) = 11, l(B2) = 3
C3:((C2XC2):C4) =
SM_19
of order 48
, k(B2) = 17, l(B2) = 9
- H
= Q8:C3=
SM_3 of order 24. Class: 45 Length: 28 Order: 24
G = (C7XC7):H =
SM_214 of order 1176
k(B) = 17, l(B) = 7
Maximal subgroups: H1 =Q8
H2 =C6
H3 =C6
H4 =C6
H5 =C6
Non-trivial central extensions by C2:
- H
= D8XC3=
SM_10 of order 24. Class: 46 Length: 42 Order: 24
G = (C7XC7):H =
SM_217 of order 1176
k(B) = 20, l(B) = 15
Maximal subgroups: H1 =C2XC2XC3
H2 =C2XC2XC3
H3 =C12
H4 =D8
Non-trivial central extensions by C2:
((C2XC2):C4)XC3 =
SM_21
of order 48
, k(B2) = 20, l(B2) = 15
GQ16XC3 =
SM_22
of order 48
, k(B2) = 20, l(B2) = 15
D16XC3 =
SM_25
of order 48
, k(B2) = 11, l(B2) = 6
SD16XC3 =
SM_26
of order 48
, k(B2) = 11, l(B2) = 6
GQ16XC3 =
SM_27
of order 48
, k(B2) = 11, l(B2) = 6
- H
= C16:C2=
SM_19 of order 32. Class: 48 Length: 21 Order: 32
G = (C7XC7):H =
SM_915 of order 1568
k(B) = 17, l(B) = 11
Maximal subgroups: H1 =C16
H2 =GQ16
H3 =D16
Non-trivial central extensions by C2:
(C16YC8):C2 =
SM_38
of order 64
, k(B2) = 17, l(B2) = 11
(C16YC8):C2 =
SM_39
of order 64
, k(B2) = 17, l(B2) = 11
C16:C4 =
SM_48
of order 64
, k(B2) = 17, l(B2) = 11
- H
= GQ12XC3=
SM_6 of order 36. Class: 49 Length: 28 Order: 36
G = (C7XC7):H =
SM_133 of order 1764
k(B) = 22, l(B) = 18
Maximal subgroups: H1 =C2XC3XC3
H2 =GQ12
H3 =C12
H4 =C12
H5 =C12
Non-trivial central extensions by C2:
(C3:C8)XC3 =
SM_12
of order 72
, k(B2) = 22, l(B2) = 18
Non-trivial central extensions by C3:
SM_7
of order 108
, k(B2) = 22, l(B2) = 18
- H
= C2XC2XC3XC3=
SM_14 of order 36. Class: 50 Length: 28 Order: 36
G = (C7XC7):H =
SM_135 of order 1764
k(B) = 49, l(B) = 36
Maximal subgroups: H1 =C2XC3XC3
H2 =C2XC3XC3
H3 =C2XC3XC3
H4 =C2XC2XC3
H5 =C2XC2XC3
H6 =C2XC2XC3
H7 =C2XC2XC3
Non-trivial central extensions by C2:
C2XC4XC3XC3 =
SM_36
of order 72
, k(B2) = 49, l(B2) = 36
D8XC3XC3 =
SM_37
of order 72
, k(B2) = 22, l(B2) = 9
Q8XC3XC3 =
SM_38
of order 72
, k(B2) = 22, l(B2) = 9
Non-trivial central extensions by C3:
SM_29
of order 108
, k(B2) = 49, l(B2) = 36
SM_30
of order 108
, k(B2) = 17, l(B2) = 4
SM_31
of order 108
, k(B2) = 17, l(B2) = 4
- H
= S3XC6=
SM_12 of order 36. Class: 51 Length: 28 Order: 36
G = (C7XC7):H =
SM_134 of order 1764
k(B) = 25, l(B) = 18
Maximal subgroups: H1 =S3XC3
H2 =S3XC3
H3 =C2XC3XC3
H4 =D12
H5 =C2XC2XC3
H6 =C2XC2XC3
H7 =C2XC2XC3
Non-trivial central extensions by C2:
(C3:Q8)XC3 =
SM_26
of order 72
, k(B2) = 16, l(B2) = 9
S3XC3XC4 =
SM_27
of order 72
, k(B2) = 25, l(B2) = 18
(C3:D8)XC3 =
SM_28
of order 72
, k(B2) = 16, l(B2) = 9
GQ12XC3XC2 =
SM_29
of order 72
, k(B2) = 25, l(B2) = 18
(C3:D8)XC3 =
SM_30
of order 72
, k(B2) = 16, l(B2) = 9
Non-trivial central extensions by C3:
SM_24
of order 108
, k(B2) = 25, l(B2) = 18
- H
= (Q8:C3).C2=
SM_28 of order 48. Class: 64 Length: 14 Order: 48
G = (C7XC7):H of order 2352
k(B) = 9, l(B) = 8
Maximal subgroups: H1 =Q8:C3
H2 =GQ16
H3 =GQ16
H4 =GQ16
H5 =GQ12
H6 =GQ12
H7 =GQ12
H8 =GQ12
Non-trivial central extensions by C2:
((Q8:C3)XC2).C2 =
SM_66
of order 96
, k(B2) = 9, l(B2) = 8
- H
= D16XC3=
SM_25 of order 48. Class: 65 Length: 21 Order: 48
G = (C7XC7):H of order 2352
k(B) = 25, l(B) = 21
Maximal subgroups: H1 =D8XC3
H2 =D8XC3
H3 =C24
H4 =D16
Non-trivial central extensions by C2:
C3X((C8XC2):C2) =
SM_52
of order 96
, k(B2) = 25, l(B2) = 21
C3X(C8:C4) =
SM_57
of order 96
, k(B2) = 25, l(B2) = 21
C3XD32 =
SM_61
of order 96
, k(B2) = 16, l(B2) = 12
C3X(C16:C2) =
SM_62
of order 96
, k(B2) = 16, l(B2) = 12
C3XGQ32 =
SM_63
of order 96
, k(B2) = 16, l(B2) = 12
- H
= GQ16XC3=
SM_27 of order 48. Class: 66 Length: 21 Order: 48
G = (C7XC7):H of order 2352
k(B) = 22, l(B) = 21
Maximal subgroups: H1 =C24
H2 =Q8XC3
H3 =Q8XC3
H4 =GQ16
Non-trivial central extensions by C2:
C3X(C8XC2).C2) =
SM_53
of order 96
, k(B2) = 22, l(B2) = 21
C3X(C8:C4) =
SM_57
of order 96
, k(B2) = 22, l(B2) = 21
- H
= C48=
SM_2 of order 48. Class: 67 Length: 21 Order: 48
G = (C7XC7):H of order 2352
k(B) = 49, l(B) = 48
Maximal subgroups: H1 =C24
H2 =C16
Non-trivial central extensions by C2:
C32XC3 =
SM_2
of order 96
, k(B2) = 49, l(B2) = 48
- H
= SL23XC3=
SM_25 of order 72. Class: 69 Length: 14 Order: 72
G = (C7XC7):H of order 3528
k(B) = 27, l(B) = 21
Maximal subgroups: H1 =Q8:C3
H2 =Q8:C3
H3 =Q8XC3
H4 =Q8:C3
H5 =C2XC3XC3
H6 =C2XC3XC3
H7 =C2XC3XC3
H8 =C2XC3XC3
Non-trivial central extensions by C2:
Non-trivial central extensions by C3:
SM_38
of order 216
, k(B2) = 27, l(B2) = 21
SM_39
of order 216
, k(B2) = 11, l(B2) = 5
SM_40
of order 216
, k(B2) = 27, l(B2) = 21
SM_41
of order 216
, k(B2) = 11, l(B2) = 5
SM_42
of order 216
, k(B2) = 11, l(B2) = 5
- H
= (C3:D8)XC3=
SM_30 of order 72. Class: 70 Length: 28 Order: 72
G = (C7XC7):H of order 3528
k(B) = 35, l(B) = 27
Maximal subgroups: H1 =S3XC6
H2 =C2XC2XC3XC3
H3 =GQ12XC3
H4 =D8XC3
H5 =D8XC3
H6 =D8XC3
H7 =D8PS3
Non-trivial central extensions by C2:
SM_77
of order 144
, k(B2) = 35, l(B2) = 27
SM_79
of order 144
, k(B2) = 35, l(B2) = 27
SM_80
of order 144
, k(B2) = 17, l(B2) = 9
SM_81
of order 144
, k(B2) = 17, l(B2) = 9
SM_82
of order 144
, k(B2) = 17, l(B2) = 9
SM_83
of order 144
, k(B2) = 17, l(B2) = 9
SM_84
of order 144
, k(B2) = 35, l(B2) = 27
Non-trivial central extensions by C3:
SM_58
of order 216
, k(B2) = 35, l(B2) = 27
- H
= C3X(C16:C2)=
SM_62 of order 96. Class: 75 Length: 21 Order: 96
G = (C7XC7):H of order 4704
k(B) = 35, l(B) = 33
Maximal subgroups: H1 =C48
H2 =GQ16XC3
H3 =D16XC3
H4 =C16:C2
Non-trivial central extensions by C2:
SM_163
of order 192
, k(B2) = 35, l(B2) = 33
SM_164
of order 192
, k(B2) = 35, l(B2) = 33
SM_173
of order 192
, k(B2) = 35, l(B2) = 33
- H
=
SM_121 of order 144. Class: 79 Length: 14 Order: 144
G = (C7XC7):H of order 7056
k(B) = 27, l(B) = 24
Maximal subgroups: H1 =SL23XC3
H2 =GQ16XC3
H3 =GQ16XC3
H4 =GQ16XC3
H5 =(Q8:C3).C2
H6 =GQ12XC3
H7 =GQ12XC3
H8 =GQ12XC3
H9 =GQ12XC3
Non-trivial central extensions by C2:
SM_399
of order 288
, k(B2) = 27, l(B2) = 24
Non-trivial central extensions by C3:
SM_240
of order 432
, k(B2) = 27, l(B2) = 24
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