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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
7T5 | $\GL(3,2)$ | $168$ | $1$ | 7T5, 8T37, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2 | ||
8T37 | $\PSL(2,7)$ | $168$ | $1$ | 7T5 x 2, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2 | ||
14T10 | $\PSL(2,7)$ | $168$ | $1$ | $\GL(3,2)$ | 7T5 x 2, 8T37, 14T10, 21T14, 24T284, 28T32, 42T37, 42T38 x 2 | |
21T14 | $\PSL(2,7)$ | $168$ | $1$ | $\GL(3,2)$ x 2 | 7T5 x 2, 8T37, 14T10 x 2, 24T284, 28T32, 42T37, 42T38 x 2 | |
24T284 | $\PSL(2,7)$ | $168$ | $1$ | $\PSL(2,7)$ | 7T5 x 2, 8T37, 14T10 x 2, 21T14, 28T32, 42T37, 42T38 x 2 | |
28T32 | $\PSL(2,7)$ | $168$ | $1$ | $\GL(3,2)$ x 2 | 7T5 x 2, 8T37, 14T10 x 2, 21T14, 24T284, 42T37, 42T38 x 2 | |
42T37 | $\PSL(2,7)$ | $168$ | $1$ | $\GL(3,2)$ x 2, $\PSL(2,7)$ | 7T5 x 2, 8T37, 14T10 x 2, 21T14, 24T284, 28T32, 42T38 x 2 | |
42T38 | $\PSL(2,7)$ | $168$ | $1$ | $\GL(3,2)$ x 2, $\PSL(2,7)$, $\PSL(2,7)$ | 7T5 x 2, 8T37, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 |
Results are complete for degrees $\leq 23$.