Results: (displaying all 16 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
6T1 $C_6$ 6 -1 Yes 2T1, 3T1
6T2 $S_3$ 6 -1 Yes 2T1, 3T2 3T2
6T3 $S_3\times C_2$ 12 -1 Yes 2T1, 3T2 6T3b, 12T3
6T4 $A_4$ 12 1 Yes 3T1 4T4, 12T4
6T5 $S_3\times C_3$ 18 -1 Yes 2T1 9T4, 18T3
6T6 $A_4\times C_2$ 24 -1 Yes 3T1 8T13, 12T6, 12T7
6T7 $S_4$ 24 1 Yes 3T2 4T5, 6T8, 8T14, 12T8, 12T9
6T8 $S_4$ 24 -1 Yes 3T2 4T5, 6T7, 8T14, 12T8, 12T9
6T9 $S_3^2$ 36 -1 Yes 2T1 9T8, 12T16, 18T9, 18T11a, 18T11b
6T10 $C_3^2:C_4$ 36 1 Yes 2T1 6T10b, 9T9, 12T17a, 12T17b, 18T10
6T11 $S_4\times C_2$ 48 -1 Yes 3T2 6T11b, 8T24a, 8T24b, 12T21, 12T22, 12T23a, 12T23b, 12T24a, 12T24b, 16T61
6T12 $\PSL(2,5)$ 60 1 No 5T4, 10T7, 12T33, 15T5, 20T15
6T13 $C_3^2:D_4$ 72 -1 Yes 2T1 6T13b, 9T16, 12T34a, 12T34b, 12T35a, 12T35b, 12T36a, 12T36b, 18T34a, 18T34b, 18T36
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