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Results (displaying all 45 matches)

Label Name Order Parity Solvable Subfields Low Degree Siblings
10T1 $C_{10}$ 10 -1 Yes $C_2$, $C_5$
10T2 $D_5$ 10 -1 Yes $C_2$, $D_{5}$ 5T2
10T3 $D_{10}$ 20 -1 Yes $C_2$, $D_{5}$ 10T3, 20T4
10T4 $F_5$ 20 -1 Yes $C_2$, $F_5$ 5T3, 20T5
10T5 $F_{5}\times C_2$ 40 -1 Yes $C_2$, $F_5$ 10T5, 20T9, 20T13, 40T14
10T6 $D_5\times C_5$ 50 -1 Yes $C_2$ 10T6, 25T3
10T7 $A_{5}$ 60 1 No 5T4, 6T12, 12T33, 15T5, 20T15, 30T9
10T8 $C_2^4 : C_5$ 80 1 Yes $C_5$ 10T8 x 2, 16T178, 20T17 x 6, 20T23, 40T57 x 3
10T9 $D_5^2$ 100 -1 Yes $C_2$ 10T9, 20T28 x 2, 25T12
10T10 $C_5^2 : C_4$ 100 -1 Yes $C_2$ 10T10, 20T27 x 2, 25T10
10T11 $A_5\times C_2$ 120 -1 No $C_2$, $A_5$ 12T75, 12T76, 20T31, 20T36, 24T203, 30T29, 30T30, 40T61
10T12 $S_5$ 120 -1 No $C_2$, $S_5$ 5T5, 6T14, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
10T13 $S_5$ 120 -1 No 5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
10T14 $C_2 \times (C_2^4 : C_5)$ 160 -1 Yes $C_5$ 10T14 x 2, 20T40 x 12, 20T41 x 6, 20T44 x 3, 20T46 x 3, 32T2133, 40T121 x 6, 40T122 x 6, 40T123 x 12, 40T141, 40T142 x 3
10T15 $(C_2^4 : C_5) : C_2$ 160 1 Yes $D_{5}$ 10T15 x 2, 10T16 x 3, 16T415, 20T38 x 6, 20T39, 20T43 x 3, 20T45 x 3, 32T2132, 40T143 x 3, 40T144 x 3, 40T145 x 6, 40T146
10T16 $(C_2^4 : C_5) : C_2$ 160 -1 Yes $D_{5}$ 10T15 x 3, 10T16 x 2, 16T415, 20T38 x 6, 20T39, 20T43 x 3, 20T45 x 3, 32T2132, 40T143 x 3, 40T144 x 3, 40T145 x 6, 40T146
10T17 $(C_5^2 : C_4) : C_2$ 200 -1 Yes $C_2$ 10T17, 20T54 x 2, 25T19, 40T169 x 2
10T18 $C_5^2 : C_8$ 200 1 Yes $C_2$ 10T18 x 2, 20T56 x 3, 25T20, 40T171 x 3
10T19 $D_5^2 : C_2$ 200 -1 Yes $C_2$ 10T21 x 2, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 25T21, 40T167 x 2, 40T170
10T20 $C_5^2 : Q_8$ 200 -1 Yes $C_2$ 10T20 x 2, 20T47 x 3, 25T17, 40T166 x 3
10T21 $D_5^2 : C_2$ 200 -1 Yes $C_2$ 10T19, 10T21, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 25T21, 40T167 x 2, 40T170
10T22 $S_5\times C_2$ 240 -1 No $C_2$, $S_5$ 10T22, 12T123 x 2, 20T62 x 2, 20T65 x 2, 20T70, 24T570, 24T577, 30T58 x 2, 30T60 x 2, 40T173 x 2, 40T180, 40T181, 40T187 x 2
10T23 $C_2\times (C_2^4 : D_5)$ 320 -1 Yes $D_{5}$ 10T23 x 5, 20T71 x 6, 20T73 x 6, 20T76 x 6, 20T81 x 3, 20T85 x 6, 20T87 x 6, 32T9313 x 2, 40T204 x 3, 40T270 x 12, 40T271 x 12, 40T272 x 3, 40T273 x 2, 40T284 x 6, 40T286 x 6, 40T288 x 3, 40T293 x 3, 40T295 x 6
10T24 $(C_2^4 : C_5):C_4$ 320 1 Yes $F_5$ 10T25, 16T711, 20T77, 20T78, 20T79, 20T80, 20T83, 20T88, 32T9312, 40T206, 40T207, 40T296, 40T297, 40T298, 40T299, 40T300, 40T301, 40T302, 40T303
10T25 $(C_2^4 : C_5):C_4$ 320 -1 Yes $F_5$ 10T24, 16T711, 20T77, 20T78, 20T79, 20T80, 20T83, 20T88, 32T9312, 40T206, 40T207, 40T296, 40T297, 40T298, 40T299, 40T300, 40T301, 40T302, 40T303
10T26 $\PSL(2,9)$ 360 1 No 6T15 x 2, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
10T27 $(D_5 \wr C_2):C_2$ 400 -1 Yes $C_2$ 10T27 x 2, 20T90 x 3, 20T96 x 3, 20T97 x 3, 25T30, 40T393 x 3, 40T394 x 3, 40T395 x 3
10T28 $(C_5^2 : C_8):C_2$ 400 1 Yes $C_2$ 20T104, 20T107, 20T109, 20T115, 25T31, 40T397, 40T398, 40T399, 40T400
10T29 $((C_2^4 : C_5):C_4)\times C_2$ 640 -1 Yes $F_5$ 10T29, 20T129, 20T131 x 2, 20T132, 20T133, 20T134, 20T135, 20T137 x 2, 20T140, 32T34608 x 2, 40T460, 40T462, 40T473, 40T474, 40T475, 40T476, 40T487, 40T488, 40T489, 40T490, 40T557, 40T558 x 2, 40T561, 40T562, 40T563, 40T564, 40T565, 40T566, 40T567 x 2, 40T576, 40T577, 40T578, 40T579, 40T586
10T30 $\PGL(2,9)$ 720 -1 No 12T182, 20T146, 30T171, 36T1254, 40T590, 45T110
10T31 $M_{10}$ 720 1 No 12T181, 20T148, 20T150 x 2, 30T162, 36T1253, 40T591, 45T109
10T32 $S_{6}$ 720 -1 No 6T16 x 2, 12T183 x 2, 15T28 x 2, 20T145, 20T149 x 2, 30T164 x 2, 30T166 x 2, 30T176 x 2, 36T1252, 40T589, 40T592 x 2, 45T96
10T33 $F_5 \wr C_2$ 800 -1 Yes $C_2$ 20T155, 20T161, 20T167, 20T169, 25T50, 40T874, 40T875, 40T876, 40T877, 40T878, 40T879, 40T880, 40T881, 40T882, 40T883
10T34 $C_2^4 : A_5$ 960 1 No $A_5$ 16T1081, 20T172, 20T177, 30T214, 30T217, 40T888, 40T889, 40T932, 40T942, 40T944, 40T945
10T35 $(A_6 : C_2) : C_2$ 1440 -1 No 12T220, 20T201, 20T204, 20T208, 24T2960, 30T264, 36T2341, 40T1198, 40T1199, 40T1201, 45T187
10T36 $C_2 \wr A_5$ 1920 -1 No $A_5$ 20T224, 20T225, 20T230, 30T344, 30T354, 32T97741, 40T1576, 40T1578, 40T1585, 40T1586, 40T1597, 40T1598, 40T1644
10T37 $(C_2^4:A_5) : C_2$ 1920 1 No $S_5$ 10T38, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678
10T38 $(C_2^4:A_5) : C_2$ 1920 -1 No $S_5$ 10T37, 16T1328, 20T218, 20T219, 20T222, 20T223, 20T226, 30T329, 30T332, 30T333, 30T341, 32T97736, 40T1581, 40T1582, 40T1583, 40T1584, 40T1587, 40T1588, 40T1595, 40T1596, 40T1658, 40T1659, 40T1676, 40T1677, 40T1678
10T39 $C_2 \wr S_5$ 3840 -1 No $S_5$ 10T39, 20T275, 20T279 x 2, 20T285 x 2, 20T288 x 2, 20T289 x 2, 30T517 x 2, 30T524 x 2, 32T206825 x 2, 40T2728 x 2, 40T2731 x 2, 40T2748, 40T2749, 40T2757 x 2, 40T2771 x 2, 40T2772 x 2, 40T2773 x 2, 40T2774 x 2, 40T2779 x 2, 40T2780 x 2, 40T2781 x 2, 40T2782 x 2, 40T2798, 40T2839 x 2
10T40 $A_5 \wr C_2$ 7200 -1 No $C_2$ 12T269, 20T363, 24T9631, 25T88, 30T652, 36T7075, 40T5410
10T41 $(A_5^2 : C_2):C_2$ 14400 -1 No $C_2$ 12T279, 20T456, 20T459, 24T12117, 25T101, 30T819, 36T9862, 40T10506, 40T10507, 40T10508
10T42 $A_5^2 : C_4$ 14400 1 No $C_2$ 12T278, 20T457, 20T461, 24T12116, 25T100, 30T817, 36T9861, 40T10509, 40T10510, 40T10511
10T43 $S_5^2 \wr C_2$ 28800 -1 No $C_2$ 12T288, 20T539, 20T540, 20T542, 20T544, 24T13996, 24T13997, 24T13998, 25T106, 30T1011, 36T13308, 40T14374, 40T14375, 40T14376, 40T14377, 40T14378, 40T14379, 40T14380, 40T14381
10T44 $A_{10}$ 1814400 1 No 45T1982
10T45 $S_{10}$ 3628800 -1 No 20T1007, 45T2246

Results are complete for degrees $\leq 23$.