Results: (displaying all 6 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
4T5 $S_4$ 24 -1 Yes 6T7, 6T8, 8T14, 12T8, 12T9
6T7 $S_4$ 24 1 Yes 3T2 4T5, 6T8, 8T14, 12T8, 12T9
6T8 $S_4$ 24 -1 Yes 3T2 4T5, 6T7, 8T14, 12T8, 12T9
8T14 $S_4$ 24 1 Yes 2T1, 4T5 4T5, 6T7, 6T8, 12T8, 12T9
12T8 $S_4$ 24 -1 Yes 3T2, 4T5, 6T7 4T5, 6T7, 6T8, 8T14, 12T9
12T9 $S_4$ 24 1 Yes 2T1, 3T2, 6T2, 6T7, 6T8 4T5, 6T7, 6T8, 8T14, 12T8

Results are complete for degrees $\leq 23$.