Results: (displaying matches 1-50 of 150)

Label Name Order Parity Solvable Subfields Low Degree Siblings
1T1 Trivial 1 1 Yes
2T1 $C_2$ 2 -1 Yes
3T1 $C_3$ 3 1 Yes
3T2 $S_3$ 6 -1 Yes 6T2
4T4 $A_4$ 12 1 Yes 6T4, 12T4
4T5 $S_4$ 24 -1 Yes 6T7, 6T8, 8T14, 12T8, 12T9
5T1 $C_5$ 5 1 Yes
5T2 $D_5$ 10 1 Yes 10T2
5T3 $F_5$ 20 -1 Yes 10T4, 20T5
5T4 $A_5$ 60 1 No 6T12, 10T7, 12T33, 15T5, 20T15
5T5 $S_5$ 120 -1 No 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35
6T12 $\PSL(2,5)$ 60 1 No 5T4, 10T7, 12T33, 15T5, 20T15
6T14 $\PGL(2,5)$ 120 -1 No 5T5, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35
6T15 $A_6$ 360 1 No 6T15b, 10T26, 15T20a, 15T20b, 20T89
6T16 $S_6$ 720 -1 No 6T16b, 10T32, 12T183a, 12T183b, 15T28a, 15T28b, 20T145, 20T149a, 20T149b
7T1 $C_7$ 7 1 Yes
7T2 $D_7$ 14 -1 Yes 14T2
7T3 $C_7:C_3$ 21 1 Yes 21T2
7T4 $F_7$ 42 -1 Yes 14T4, 21T4
7T5 $\GL(3,2)$ 168 1 No 7T5b, 8T37, 14T10a, 14T10b, 21T14
7T6 $A_7$ 2520 1 No 15T47a, 15T47b, 21T33
7T7 $S_7$ 5040 -1 No 14T46, 21T38
8T25 $C_2^3:C_7$ 56 1 Yes 14T6
8T36 $C_2^3:(C_7: C_3)$ 168 1 Yes 14T11
8T37 $\PSL(2,7)$ 168 1 No 7T5a, 7T5b, 14T10a, 14T10b, 21T14
8T43 $\PGL(2,7)$ 336 -1 No 14T16, 16T713, 21T20
8T48 $C_2^3:\GL(3,2)$ 1344 1 No 8T48b, 14T34a, 14T34b
8T49 $A_8$ 20160 1 No 15T72a, 15T72b
8T50 $S_8$ 40320 -1 No 16T1838
9T9 $C_3^2:C_4$ 36 1 Yes 6T10a, 6T10b, 12T17a, 12T17b, 18T10
9T14 $C_3^2:Q_8$ 72 1 Yes 12T47, 18T35a, 18T35b, 18T35c
9T15 $C_3^2:C_8$ 72 -1 Yes 12T46, 18T28
9T16 $S_3^2:C_2$ 72 -1 Yes 6T13a, 6T13b, 12T34a, 12T34b, 12T35a, 12T35b, 12T36a, 12T36b, 18T34a, 18T34b, 18T36
9T19 $(C_3^2:C_8):C_2$ 144 -1 Yes 12T84, 18T68, 18T71, 18T73
9T23 $(C_3^2:Q_8):C_3$ 216 1 Yes 12T122
9T26 $((C_3^2:Q_8):C_3):C_2$ 432 -1 Yes 12T157, 18T157
9T27 $\PSL(2,8)$ 504 1 No
9T32 $\mathrm{P}\Gamma\mathrm{L}(2,8)$ 1512 1 No
9T33 $A_9$ 181440 1 No
9T34 $S_9$ 362880 -1 No 18T887
10T7 $A_{5}$ 60 1 No 5T4, 6T12, 12T33, 15T5, 20T15
10T13 120 -1 No 5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35
10T26 $\PSL(2,9)$ 360 1 No 6T15a, 6T15b, 15T20a, 15T20b, 20T89
10T30 $\PGL(2,9)$ 720 -1 No 12T182, 20T146
10T31 $M_{10}$ 720 1 No 12T181, 20T148, 20T150a, 20T150b
10T32 $S_{6}$ 720 -1 No 6T16a, 6T16b, 12T183a, 12T183b, 15T28a, 15T28b, 20T145, 20T149a, 20T149b
10T35 1440 -1 No 12T220, 20T201, 20T204, 20T208
10T44 $A_{10}$ 1814400 1 No
10T45 $S_{10}$ 3628800 -1 No 20T1007
11T1 $C_{11}$ 11 1 Yes

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