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Results (1-50 of 157 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
14T1 $C_{14}$ $14$ $-1$ $C_2$, $C_7$
14T2 $D_{7}$ $14$ $-1$ $C_2$, $D_{7}$ 7T2
14T3 $D_{14}$ $28$ $-1$ $C_2$, $D_{7}$ 14T3, 28T4
14T4 $F_7$ $42$ $-1$ $C_2$, $F_7$ 7T4, 21T4, 42T4
14T5 $(C_7:C_3) \times C_2$ $42$ $-1$ $C_2$, $C_7:C_3$ 42T2
14T6 $F_8$ $56$ $1$ $C_7$ 8T25, 28T11
14T7 $F_7 \times C_2$ $84$ $-1$ $C_2$, $F_7$ 14T7, 28T15, 42T10 x 2
14T8 $C_7 \wr C_2$ $98$ $-1$ $C_2$ 14T8 x 2
14T9 $C_2\times F_8$ $112$ $-1$ $C_7$ 16T196, 28T19 x 3, 28T20
14T10 $\PSL(2,7)$ $168$ $1$ $\GL(3,2)$ 7T5 x 2, 8T37, 14T10, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
14T11 $F_8:C_3$ $168$ $1$ $C_7:C_3$ 8T36, 24T283, 28T27, 42T26
14T12 $C_7^2:C_4$ $196$ $1$ $C_2$ 14T12 x 3, 28T35 x 4
14T13 $D_7^2$ $196$ $-1$ $C_2$ 14T13 x 2, 28T36 x 3
14T14 $C_7:F_7$ $294$ $-1$ $C_2$ 14T14 x 2, 42T61 x 3
14T15 $C_7^2:S_3$ $294$ $-1$ $C_2$ 21T17, 21T18, 42T56, 42T57, 42T62
14T16 $\PGL(2,7)$ $336$ $-1$ $C_2$ 8T43, 16T713, 21T20, 24T707, 28T42, 28T46, 42T81, 42T82, 42T83
14T17 $C_2\times \GL(3,2)$ $336$ $-1$ $\GL(3,2)$ 14T17, 14T19 x 2, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T18 $F_8:C_6$ $336$ $-1$ $C_7:C_3$ 16T712, 28T44, 42T67
14T19 $\GL(3,2) \times C_2$ $336$ $-1$ $C_2$, $\GL(3,2)$ 14T17 x 2, 14T19, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T20 $D_7 \wr C_2$ $392$ $-1$ $C_2$ 14T20, 28T53 x 2, 28T54 x 2, 28T55 x 2, 28T57
14T21 $C_2^3:F_8$ $448$ $1$ $C_7$ 14T21 x 6, 28T62 x 21, 28T63 x 14, 28T64 x 42, 28T65 x 7, 28T66 x 7
14T22 $C_7^2:C_3:C_4$ $588$ $1$ $C_2$ 28T75, 42T119, 42T125
14T23 $C_7^2:C_{12}$ $588$ $1$ $C_2$ 14T23 x 3, 28T76 x 4, 42T120 x 4
14T24 $D_7:F_7$ $588$ $-1$ $C_2$ 14T24 x 2, 28T77 x 3, 42T121 x 3
14T25 $C_7^2:D_6$ $588$ $-1$ $C_2$ 21T23 x 2, 28T78, 42T110 x 2, 42T111 x 2, 42T112 x 2, 42T122
14T26 $C_7^2:(C_3\times S_3)$ $882$ $-1$ $C_2$ 21T25, 21T26, 42T143, 42T144, 42T152, 42T153, 42T154, 42T155
14T27 $C_2^6:D_7$ $896$ $-1$ $D_{7}$ 14T27 x 6, 14T28 x 7, 16T1078, 28T98, 28T105 x 7, 28T106 x 21, 28T107 x 21, 28T108 x 7, 28T109 x 7
14T28 $C_2^6:D_7$ $896$ $1$ $D_{7}$ 14T27 x 7, 14T28 x 6, 16T1078, 28T98, 28T105 x 7, 28T106 x 21, 28T107 x 21, 28T108 x 7, 28T109 x 7
14T29 $C_2 \wr C_7$ $896$ $-1$ $C_7$ 14T29 x 6, 28T104 x 7, 28T110 x 21, 28T111 x 42, 28T112 x 42, 28T113 x 21, 28T114 x 42, 28T115 x 42, 28T116 x 14, 28T117 x 42, 28T118 x 7
14T31 $D_7^2:S_3$ $1176$ $-1$ $C_2$ 28T133, 28T134, 28T135, 42T194, 42T196
14T32 $D_7^2:C_6$ $1176$ $-1$ $C_2$ 14T32, 28T136 x 2, 28T137 x 2, 28T138 x 2, 28T143, 42T195 x 2
14T33 $C_2^3.\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ 14T33, 28T152, 28T158 x 2, 42T208 x 2, 42T209 x 2
14T34 $C_2^3:\GL(3,2)$ $1344$ $1$ $\GL(3,2)$ 8T48 x 2, 14T34, 28T153, 28T159 x 2, 42T210 x 2, 42T211 x 2
14T35 $C_2^3:F_8:C_3$ $1344$ $1$ $C_7:C_3$ 28T154, 28T155 x 2, 28T157, 42T202, 42T204, 42T205
14T36 $C_7^2:C_3:C_{12}$ $1764$ $1$ $C_2$ 28T169, 42T248, 42T249, 42T250, 42T251, 42T257
14T37 $C_7^2:(C_6\times S_3)$ $1764$ $-1$ $C_2$ 21T29 x 2, 28T170, 42T223 x 2, 42T224 x 2, 42T225 x 2, 42T252, 42T253, 42T254, 42T255
14T38 $C_2\wr D_7$ $1792$ $-1$ $D_{7}$ 14T38 x 13, 28T175, 28T185 x 21, 28T186 x 7, 28T193 x 7, 28T194 x 42, 28T195 x 42, 28T196 x 14, 28T197 x 14, 32T97728
14T40 $C_2^6:F_7$ $2688$ $-1$ $F_7$ 14T41, 16T1502, 28T215, 28T227, 28T228, 28T237, 42T314, 42T315, 42T316, 42T317, 42T318, 42T319
14T41 $C_2^6:F_7$ $2688$ $1$ $F_7$ 14T40, 16T1502, 28T215, 28T227, 28T228, 28T237, 42T314, 42T315, 42T316, 42T317, 42T318, 42T319
14T42 $C_2^4.\GL(3,2)$ $2688$ $-1$ $\GL(3,2)$ 14T42, 28T229 x 2, 28T230, 28T231 x 2, 42T327 x 2, 42T330 x 2
14T43 $C_2^4:\GL(3,2)$ $2688$ $-1$ $\GL(3,2)$ 14T43, 16T1504 x 2, 28T232 x 2, 28T233, 28T234 x 2, 42T328 x 2, 42T329 x 2
14T44 $C_2\wr C_7:C_3$ $2688$ $-1$ $C_7:C_3$ 28T226, 28T235 x 2, 28T236, 42T309, 42T310, 42T311
14T45 $F_7\wr C_2$ $3528$ $-1$ $C_2$ 28T251, 28T252, 28T253, 42T368, 42T369, 42T370, 42T371, 42T372
14T46 $S_7$ $5040$ $-1$ $C_2$, $S_7$ 7T7, 21T38, 30T565, 35T31, 42T411, 42T412, 42T413, 42T418
14T47 $A_7\times C_2$ $5040$ $-1$ $C_2$, $A_7$ 30T566 x 2, 42T409, 42T410
14T48 $C_2\wr F_7$ $5376$ $-1$ $F_7$ 14T48, 28T287, 28T308, 28T315, 28T316 x 2, 28T317 x 2, 32T397084, 42T448 x 2, 42T449 x 2, 42T450 x 2
14T49 $S_7\times C_2$ $10080$ $-1$ $C_2$, $S_7$ 14T49, 28T363, 42T549 x 2, 42T550 x 2
14T50 $C_2^6:\GL(3,2)$ $10752$ $1$ $\GL(3,2)$ 14T50, 28T388, 28T390 x 2, 42T613 x 2, 42T614 x 2, 42T615 x 2, 42T616 x 2
14T51 $C_2^7.\GL(3,2)$ $21504$ $-1$ $\GL(3,2)$ 14T51, 28T462 x 2, 28T463, 28T464 x 2, 42T767 x 2, 42T768 x 2, 42T769 x 2, 42T770 x 2
14T52 $\GL(3,2)\wr C_2$ $56448$ $-1$ $C_2$ 14T52, 16T1861, 28T546 x 2, 42T1003
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Results are complete for degrees $\leq 23$.