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Results (displaying matches 1-50 of 63) Next

Label Name Order Parity Solvable Subfields Low Degree Siblings
14T1 $C_{14}$ 14 -1 Yes $C_2$, $C_7$
14T2 $D_{7}$ 14 -1 Yes $C_2$, $D_{7}$ 7T2
14T3 $D_{14}$ 28 -1 Yes $C_2$, $D_{7}$ 14T3, 28T4
14T4 $F_7$ 42 -1 Yes $C_2$, $F_7$ 7T4, 21T4, 42T4
14T5 $(C_7:C_3) \times C_2$ 42 -1 Yes $C_2$, $C_7:C_3$ 42T2
14T6 $F_8$ 56 1 Yes $C_7$ 8T25, 28T11
14T7 $F_7 \times C_2$ 84 -1 Yes $C_2$, $F_7$ 14T7, 28T15, 42T10 x 2
14T8 $C_7 \wr C_2$ 98 -1 Yes $C_2$ 14T8 x 2
14T9 $C_2\times F_8$ 112 -1 Yes $C_7$ 16T196, 28T19 x 3, 28T20
14T10 $\PSL(2,7)$ 168 1 No $\GL(3,2)$ 7T5 x 2, 8T37, 14T10, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
14T11 $F_8:C_3$ 168 1 Yes $C_7:C_3$ 8T36, 24T283, 28T27, 42T26
14T12 $C_7:D_7.C_2$ 196 1 Yes $C_2$ 14T12 x 3, 28T35 x 4
14T13 $D_7^2$ 196 -1 Yes $C_2$ 14T13 x 2, 28T36 x 3
14T14 $C_7^2:C_6$ 294 -1 Yes $C_2$ 14T14 x 2, 42T61 x 3
14T15 $C_7^2:S_3$ 294 -1 Yes $C_2$ 21T17, 21T18, 42T56, 42T57, 42T62
14T16 $SO(3,7)$ 336 -1 No $C_2$ 8T43, 16T713, 21T20, 24T707, 28T42, 28T46, 42T81, 42T82, 42T83
14T17 $C_2\times \PSL(2,7)$ 336 -1 No $\GL(3,2)$ 14T17, 14T19 x 2, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T18 $C_2\times F_8:C_3$ 336 -1 Yes $C_7:C_3$ 16T712, 28T44, 42T67
14T19 $\GL(3,2) \times C_2$ 336 -1 No $C_2$, $\GL(3,2)$ 14T17 x 2, 14T19, 16T714, 28T43 x 2, 42T78, 42T79, 42T80 x 2
14T20 $D_7 \wr C_2$ 392 -1 Yes $C_2$ 14T20, 28T53 x 2, 28T54 x 2, 28T55 x 2, 28T57
14T21 $C_2^3:F_8$ 448 1 Yes $C_7$ 14T21 x 6, 28T62 x 21, 28T63 x 14, 28T64 x 42, 28T65 x 7, 28T66 x 7
14T22 [1/6_-.F_42(7)^2]2_2 588 1 Yes $C_2$ 28T75, 42T119, 42T125
14T23 [1/6_+.F_42(7)^2]2_2 588 1 Yes $C_2$ 14T23 x 3, 28T76 x 4, 42T120 x 4
14T24 [7^2:6]2 588 -1 Yes $C_2$ 14T24 x 2, 28T77 x 3, 42T121 x 3
14T25 [7^2:6_3]2 588 -1 Yes $C_2$ 21T23 x 2, 28T78, 42T110 x 2, 42T111 x 2, 42T112 x 2, 42T122
14T26 1/2[1/2.F_42(7)^2]2 882 -1 Yes $C_2$ 21T25, 21T26, 42T143, 42T144, 42T152, 42T153, 42T154, 42T155
14T27 2^7[1/2]D(7) 896 -1 Yes $D_{7}$ 14T27 x 6, 14T28 x 7, 16T1078, 28T98, 28T105 x 7, 28T106 x 21, 28T107 x 21, 28T108 x 7, 28T109 x 7
14T28 [2^6]D(7) 896 1 Yes $D_{7}$ 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 Yes $C_7$ 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
14T30 $\PSL(2,13)$ 1092 1 No 28T120, 42T176
14T31 [D(7)^2:3_3]2 1176 -1 Yes $C_2$ 28T133, 28T134, 28T135, 42T194, 42T196
14T32 [D(7)^2:3]2 1176 -1 Yes $C_2$ 14T32, 28T136 x 2, 28T137 x 2, 28T138 x 2, 28T143, 42T195 x 2
14T33 2^3`L_7(14) 1344 1 No $\GL(3,2)$ 14T33, 28T152, 28T158 x 2, 42T208 x 2, 42T209 x 2
14T34 2^3:L_7(14)=[2^3]L(7)=[2^3]L(3,2) 1344 1 No $\GL(3,2)$ 8T48 x 2, 14T34, 28T153, 28T159 x 2, 42T210 x 2, 42T211 x 2
14T35 [2^6]F_21(7) 1344 1 Yes $C_7:C_3$ 28T154, 28T155 x 2, 28T157, 42T202, 42T204, 42T205
14T36 1/2[F_42(7)^2]2 1764 1 Yes $C_2$ 28T169, 42T248, 42T249, 42T250, 42T251, 42T257
14T37 [1/2.F_42(7)^2]2 1764 -1 Yes $C_2$ 21T29 x 2, 28T170, 42T223 x 2, 42T224 x 2, 42T225 x 2, 42T252, 42T253, 42T254, 42T255
14T38 [2^7]D(7)=2wrD(7) 1792 -1 Yes $D_{7}$ 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
14T39 $\PGL(2,13)$ 2184 -1 No 28T201, 42T284
14T40 1/2[2^7]F_42(7) 2688 -1 Yes $F_7$ 14T41, 16T1502, 28T215, 28T227, 28T228, 28T237, 42T314, 42T315, 42T316, 42T317, 42T318, 42T319
14T41 [2^6]F_42(7) 2688 1 Yes $F_7$ 14T40, 16T1502, 28T215, 28T227, 28T228, 28T237, 42T314, 42T315, 42T316, 42T317, 42T318, 42T319
14T42 2^4`L_7(14) 2688 -1 No $\GL(3,2)$ 14T42, 28T229 x 2, 28T230, 28T231 x 2, 42T327 x 2, 42T330 x 2
14T43 2^4:L_7(14)=[2^4]L(7) 2688 -1 No $\GL(3,2)$ 14T43, 16T1504 x 2, 28T232 x 2, 28T233, 28T234 x 2, 42T328 x 2, 42T329 x 2
14T44 [2^7]F_21(7)=2wrF_21(7) 2688 -1 Yes $C_7:C_3$ 28T226, 28T235 x 2, 28T236, 42T309, 42T310, 42T311
14T45 [F_42(7)^2]2=F_42(7)wr2 3528 -1 Yes $C_2$ 28T251, 28T252, 28T253, 42T368, 42T369, 42T370, 42T371, 42T372
14T46 2[1/2]S(7) 5040 -1 No $C_2$, $S_7$ 7T7, 21T38, 30T565, 35T31, 42T411, 42T412, 42T413, 42T418
14T47 $A_7\times C_2$ 5040 -1 No $C_2$, $A_7$ 30T566 x 2, 42T409, 42T410
14T48 [2^7]F_42(7)=2wrF_42(7) 5376 -1 Yes $F_7$ 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 No $C_2$, $S_7$ 14T49, 28T363, 42T549 x 2, 42T550 x 2
14T50 [2^6]L(7) 10752 1 No $\GL(3,2)$ 14T50, 28T388, 28T390 x 2, 42T613 x 2, 42T614 x 2, 42T615 x 2, 42T616 x 2

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Results are complete for degrees $\leq 23$.