## Results (1-50 of 1854 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
28T1 $C_{28}$ $28$ $-1$ yes $C_2$, $C_4$, $C_7$, $C_{14}$
28T2 $C_2\times C_{14}$ $28$ $1$ yes $C_2$ x 3, $C_2^2$, $C_7$, $C_{14}$ x 3
28T3 $C_7:C_4$ $28$ $-1$ yes $C_2$, $C_4$, $D_{7}$, $D_{7}$
28T4 $D_{14}$ $28$ $1$ yes $C_2$ x 3, $C_2^2$, $D_{7}$, $D_{7}$, $D_{14}$ x 2 14T3 x 2
28T5 $C_7\times D_4$ $56$ $-1$ yes $C_2$, $D_{4}$, $C_7$, $C_{14}$ 28T5
28T6 $D_{14}:C_2$ $56$ $-1$ yes $C_2$, $D_{4}$, $D_{7}$, $D_{7}$ 28T7
28T7 $D_{14}:C_2$ $56$ $-1$ yes $C_2$, $D_{4}$, $D_{7}$, $D_{14}$ 28T6
28T8 $C_4\times D_7$ $56$ $-1$ yes $C_2$, $C_4$, $D_{7}$, $D_{14}$ 28T8
28T9 $C_2^2\times D_7$ $56$ $1$ yes $C_2$ x 3, $C_2^2$, $D_{7}$, $D_{14}$ x 3 28T9 x 3
28T10 $D_{28}$ $56$ $-1$ yes $C_2$, $D_{4}$, $D_{7}$, $D_{14}$ 28T10
28T11 $F_8$ $56$ $1$ yes $C_7$, 14T6 8T25, 14T6
28T12 $C_7:C_{12}$ $84$ $-1$ yes $C_2$, $C_4$, $F_7$, $F_7$
28T13 $C_4\times C_7:C_3$ $84$ $-1$ yes $C_2$, $C_4$, $C_7:C_3$, $(C_7:C_3) \times C_2$
28T14 $C_2^2\times C_7:C_3$ $84$ $1$ yes $C_2$ x 3, $C_2^2$, $C_7:C_3$, $(C_7:C_3) \times C_2$ x 3
28T15 $C_2\times F_7$ $84$ $1$ yes $C_2$ x 3, $C_2^2$, $F_7$, $F_7$, $F_7 \times C_2$ x 2 14T7 x 2, 42T10 x 2
28T16 $C_7:A_4$ $84$ $1$ yes $A_4$, $C_7:C_3$ 42T8
28T17 $C_7\times A_4$ $84$ $1$ yes $A_4$, $C_7$ 42T7
28T18 $D_4\times D_7$ $112$ $-1$ yes $C_2$, $D_{4}$, $D_{7}$, $D_{14}$ 28T18 x 3
28T19 $C_2\times F_8$ $112$ $1$ yes $C_7$, 14T6, 14T9 14T9, 16T196, 28T19 x 2, 28T20
28T20 $C_2\times F_8$ $112$ $1$ yes $C_2$, $C_7$, $C_{14}$, 14T6, 14T9 14T9, 16T196, 28T19 x 3
28T21 $C_2^2:F_7$ $168$ $-1$ yes $C_2$, $D_{4}$, $F_7$, $F_7$ 28T25
28T22 $D_4\times C_7:C_3$ $168$ $-1$ yes $C_2$, $D_{4}$, $C_7:C_3$, $(C_7:C_3) \times C_2$ 28T22
28T23 $D_{28}:C_3$ $168$ $-1$ yes $C_2$, $D_{4}$, $F_7$, $F_7 \times C_2$ 28T23
28T24 $C_2^2\times F_7$ $168$ $1$ yes $C_2$ x 3, $C_2^2$, $F_7$, $F_7 \times C_2$ x 3 28T24 x 3
28T25 $C_2^2:F_7$ $168$ $-1$ yes $C_2$, $D_{4}$, $F_7$, $F_7 \times C_2$ 28T21
28T26 $C_4\times F_7$ $168$ $-1$ yes $C_2$, $C_4$, $F_7$, $F_7 \times C_2$ 28T26
28T27 $F_8:C_3$ $168$ $1$ yes $C_7:C_3$ 8T36, 14T11, 24T283, 42T26
28T28 $D_7:A_4$ $168$ $1$ yes $A_4$, $F_7$ 42T30, 42T31
28T29 $A_4\times D_7$ $168$ $1$ yes $A_4$, $D_{7}$ 42T28, 42T29
28T30 $C_7:S_4$ $168$ $-1$ yes $S_4$, $D_{7}$ 42T32, 42T33
28T31 $C_7\times S_4$ $168$ $-1$ yes $S_4$, $C_7$ 42T34, 42T35
28T32 $\PSL(2,7)$ $168$ $1$ no $\GL(3,2)$ x 2 7T5 x 2, 8T37, 14T10 x 2, 21T14, 24T284, 42T37, 42T38 x 2
28T33 $C_7\times C_7:C_4$ $196$ $-1$ yes $C_2$, $C_4$, $C_7 \wr C_2$ 28T33 x 2
28T34 $C_{14}\times D_7$ $196$ $1$ yes $C_2$ x 3, $C_2^2$, $C_7 \wr C_2$ 28T34 x 2
28T35 $C_7:D_7.C_2$ $196$ $-1$ yes $C_2$, $C_4$, 14T12 14T12 x 4, 28T35 x 3
28T36 $D_7^2$ $196$ $1$ yes $C_2$ x 3, $C_2^2$, 14T13 14T13 x 3, 28T36 x 2
28T37 $C_4\times F_8$ $224$ $-1$ yes $C_2$, $C_7$, $C_{14}$ 32T2229
28T38 $C_2^2\times F_8$ $224$ $1$ yes $C_7$, 14T9 x 3 28T38 x 5, 28T39 x 3, 32T2228
28T39 $C_2^2\times F_8$ $224$ $1$ yes $C_2$, $C_7$, $C_{14}$, 14T9 x 2 28T38 x 6, 28T39 x 2, 32T2228
28T40 $A_4\times C_7:C_3$ $252$ $1$ yes $A_4$, $C_7:C_3$ 42T39
28T41 $D_4\times F_7$ $336$ $-1$ yes $C_2$, $D_{4}$, $F_7$, $F_7 \times C_2$ 28T41 x 3
28T42 $SO(3,7)$ $336$ $1$ no $C_2$, 14T16 8T43, 14T16, 16T713, 21T20, 24T707, 28T46, 42T81, 42T82, 42T83
28T43 $C_2\times \PSL(2,7)$ $336$ $1$ no $C_2$, $\GL(3,2)$, $\PSL(2,7)$, 14T17, $\GL(3,2) \times C_2$ 14T17 x 2, 14T19 x 2, 16T714, 28T43, 42T78, 42T79, 42T80 x 2
28T44 $C_2\times F_8:C_3$ $336$ $1$ yes $C_2$, $C_7:C_3$, $(C_7:C_3) \times C_2$, 14T11, 14T18 14T18, 16T712, 42T67
28T45 $D_7\times S_4$ $336$ $-1$ yes $S_4$, $D_{7}$ 42T74, 42T75, 42T76, 42T77
28T46 $SO(3,7)$ $336$ $1$ no 8T43, 14T16, 16T713, 21T20, 24T707, 28T42, 42T81, 42T82, 42T83
28T47 $C_7\times D_{14}:C_2$ $392$ $-1$ yes $C_2$, $D_{4}$, $C_7 \wr C_2$ 28T47 x 5
28T48 $C_2\times C_7:D_7.C_2$ $392$ $1$ yes $C_2$ x 3, $C_2^2$, 14T12 28T48 x 3, 28T49 x 4
28T49 $C_2\times C_7:D_7.C_2$ $392$ $-1$ yes $C_2$, $C_4$, 14T12 28T48 x 4, 28T49 x 3
28T50 $(C_{14}\times D_7):C_2$ $392$ $-1$ yes $C_2$, $D_{4}$, 14T13 28T50 x 5
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Results are complete for degrees $\leq 23$.