Results: (displaying matches 1-50 of 740)

Label Name Order Parity Solvable Subfields Low Degree Siblings
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
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
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
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
10T11 $A_5\times C_2$ 120 -1 No 2T1, 5T4 12T75, 12T76, 20T31, 20T36
10T12 120 -1 No 2T1, 5T5 5T5, 6T14, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35
10T13 120 -1 No 5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35
10T22 $S_5\times C_2$ 240 -1 No 2T1, 5T5 10T22b, 12T123a, 12T123b, 20T62a, 20T62b, 20T65a, 20T65b, 20T70
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
10T34 960 1 No 5T4 16T1081, 20T172, 20T177
10T35 1440 -1 No 12T220, 20T201, 20T204, 20T208
10T36 1920 -1 No 5T4 20T224, 20T225, 20T230
10T37 1920 1 No 5T5 10T38, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226
10T38 1920 -1 No 5T5 10T37, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226
10T39 3840 -1 No 5T5 10T39b, 20T275, 20T279a, 20T279b, 20T285a, 20T285b, 20T288a, 20T288b, 20T289a, 20T289b
10T40 7200 -1 No 2T1 12T269, 20T363
10T41 14400 -1 No 2T1 12T279, 20T456, 20T459
10T42 14400 1 No 2T1 12T278, 20T457, 20T461
10T43 28800 -1 No 2T1 12T288, 20T539, 20T540, 20T542, 20T544
10T44 $A_{10}$ 1814400 1 No
10T45 $S_{10}$ 3628800 -1 No 20T1007
11T5 $\PSL(2,11)$ 660 1 No 11T5b, 12T179
11T6 $M_{11}$ 7920 1 No 12T272, 22T22
11T7 $A_{11}$ 19958400 1 No
11T8 $S_{11}$ 39916800 -1 No 22T45
12T33 60 1 No 6T12 5T4, 6T12, 10T7, 15T5, 20T15
12T74 120 1 No 2T1, 6T14 5T5, 6T14, 10T12, 10T13, 15T10, 20T30, 20T32, 20T35
12T75 120 1 No 2T1, 6T12 10T11, 12T76, 20T31, 20T36
12T76 120 1 No 6T12 10T11, 12T75, 20T31, 20T36
12T123 240 1 No 2T1, 6T14 10T22a, 10T22b, 12T123b, 20T62a, 20T62b, 20T65a, 20T65b, 20T70
12T124 240 -1 No 6T14 12T124b, 20T66
12T179 660 1 No 11T5a, 11T5b

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