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Results (7 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
4T5 $S_4$ $24$ $-1$ yes 6T7, 6T8, 8T14, 12T8, 12T9, 24T10
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
8T14 $S_4$ $24$ $1$ yes $C_2$, $S_4$ 4T5, 6T7, 6T8, 12T8, 12T9, 24T10
12T8 $S_4$ $24$ $-1$ yes $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T9, 24T10
12T9 $S_4$ $24$ $1$ yes $C_2$, $S_3$, $S_3$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T8, 24T10
24T10 $S_4$ $24$ $1$ yes $C_2$, $S_3$, $S_4$, $S_3$, $S_4$, $S_4$, $S_4$, $S_4$, $S_4$ 4T5, 6T7, 6T8, 8T14, 12T8, 12T9

Results are complete for degrees $\leq 23$.