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Results (16 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
6T1 $C_6$ $6$ $-1$ yes $C_2$, $C_3$
6T2 $S_3$ $6$ $-1$ yes $C_2$, $S_3$ 3T2
6T3 $D_{6}$ $12$ $-1$ yes $C_2$, $S_3$ 6T3, 12T3
6T4 $A_4$ $12$ $1$ yes $C_3$ 4T4, 12T4
6T5 $S_3\times C_3$ $18$ $-1$ yes $C_2$ 9T4, 18T3
6T6 $A_4\times C_2$ $24$ $-1$ yes $C_3$ 8T13, 12T6, 12T7, 24T9
6T7 $S_4$ $24$ $1$ yes $S_3$ 4T5, 6T8, 8T14, 12T8, 12T9, 24T10
6T8 $S_4$ $24$ $-1$ yes $S_3$ 4T5, 6T7, 8T14, 12T8, 12T9, 24T10
6T9 $S_3^2$ $36$ $-1$ yes $C_2$ 9T8, 12T16, 18T9, 18T11 x 2, 36T13
6T10 $C_3^2:C_4$ $36$ $1$ yes $C_2$ 6T10, 9T9, 12T17 x 2, 18T10, 36T14
6T11 $S_4\times C_2$ $48$ $-1$ yes $S_3$ 6T11, 8T24 x 2, 12T21, 12T22, 12T23 x 2, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
6T12 $\PSL(2,5)$ $60$ $1$ no 5T4, 10T7, 12T33, 15T5, 20T15, 30T9
6T13 $C_3^2:D_4$ $72$ $-1$ yes $C_2$ 6T13, 9T16, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
6T14 $\PGL(2,5)$ $120$ $-1$ no 5T5, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T15 $A_6$ $360$ $1$ no 6T15, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
6T16 $S_6$ $720$ $-1$ no 6T16, 10T32, 12T183 x 2, 15T28 x 2, 20T145, 20T149 x 2, 30T164 x 2, 30T166 x 2, 30T176 x 2, 36T1252, 40T589, 40T592 x 2, 45T96

Results are complete for degrees $\leq 23$.