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## Results (14 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
5T5 $S_5$ $120$ $-1$ 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T14 $\PGL(2,5)$ $120$ $-1$ 5T5, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
10T12 $S_5$ $120$ $-1$ $C_2$, $S_5$ 5T5, 6T14, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
10T13 $S_5$ $120$ $-1$ 5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
12T74 $S_5$ $120$ $1$ $C_2$, $\PGL(2,5)$ 5T5, 6T14, 10T12, 10T13, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
15T10 $S_5$ $120$ $1$ $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
20T30 $S_5$ $120$ $-1$ $S_5$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
20T32 $S_5$ $120$ $1$ $C_2$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
20T35 $S_5$ $120$ $-1$ $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 24T202, 30T22, 30T25, 30T27, 40T62
24T202 $S_5$ $120$ $1$ $C_2$, $\PGL(2,5)$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 30T22, 30T25, 30T27, 40T62
30T22 $S_5$ $120$ $-1$ $S_5$, $\PGL(2,5)$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T25, 30T27, 40T62
30T25 $S_5$ $120$ $-1$ $C_2$, $S_5$, $S_5$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T27, 40T62
30T27 $S_5$ $120$ $1$ $S_5$, $S_5$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 40T62
40T62 $S_5$ $120$ $1$ $C_2$, $S_5$, $S_5$, $S_5$, $S_5$, $S_5$, $S_5$ 5T5, 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27

Results are complete for degrees $\leq 23$.