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Label | Name | Order | Parity | Solvable | Subfields | Low Degree Siblings |
---|---|---|---|---|---|---|
25T6 | $C_5^2:C_3$ | $75$ | $1$ | ✓ | 15T9 x 2 | |
25T15 | $C_5^2:C_6$ | $150$ | $1$ | ✓ | 15T12 x 2, 30T35 x 2 | |
25T16 | $C_5^2:S_3$ | $150$ | $1$ | ✓ | 15T13, 15T14, 30T37, 30T38 | |
25T17 | $C_5^2:Q_8$ | $200$ | $1$ | ✓ | 10T20 x 3, 20T47 x 3, 40T166 x 3 | |
25T20 | $C_5^2:C_8$ | $200$ | $-1$ | ✓ | 10T18 x 3, 20T56 x 3, 40T171 x 3 | |
25T21 | $D_5\wr C_2$ | $200$ | $1$ | ✓ | 10T19, 10T21 x 2, 20T48 x 2, 20T50 x 2, 20T55, 20T57 x 2, 40T167 x 2, 40T170 | |
25T26 | $C_5^2:C_{12}$ | $300$ | $1$ | ✓ | 15T19 x 2, 30T78 x 2 | |
25T27 | $C_5^2:D_6$ | $300$ | $1$ | ✓ | 15T18 x 2, 30T66 x 2, 30T72 x 2, 30T80 x 2 | |
25T28 | $C_5^2:C_3:C_4$ | $300$ | $1$ | ✓ | 15T17 x 2, 30T71 x 2 | |
25T30 | $D_5^2.C_2^2$ | $400$ | $1$ | ✓ | 10T27 x 3, 20T90 x 3, 20T96 x 3, 20T97 x 3, 40T393 x 3, 40T394 x 3, 40T395 x 3 | |
25T31 | $C_5^2:\OD_{16}$ | $400$ | $-1$ | ✓ | 10T28, 20T104, 20T107, 20T109, 20T115, 40T397, 40T398, 40T399, 40T400 | |
25T41 | $C_5^2:\SL(2,3)$ | $600$ | $1$ | ✓ | 30T126 | |
25T43 | $C_5^2:(C_4\times S_3)$ | $600$ | $1$ | ✓ | 15T27 x 2, 30T150 x 2, 30T153 x 2, 30T155 x 2 | |
25T45 | $C_5^2:C_3:C_8$ | $600$ | $-1$ | ✓ | 30T143 | |
25T47 | $C_5^2:C_{24}$ | $600$ | $-1$ | ✓ | 30T131 | |
25T50 | $F_5\wr C_2$ | $800$ | $-1$ | ✓ | 10T33, 20T155, 20T161, 20T167, 20T169, 40T874, 40T875, 40T876, 40T877, 40T878, 40T879, 40T880, 40T881, 40T882, 40T883 | |
25T56 | $\AGammaL(1,25)$ | $1200$ | $-1$ | ✓ | 30T239 | |
25T57 | $C_5^2:\SL(2,3):C_2$ | $1200$ | $1$ | ✓ | 30T233 | |
25T65 | $C_5^2:\GU(2,3)$ | $2400$ | $-1$ | ✓ | 30T376 | |
25T74 | $C_5^2.\SL(2,5)$ | $3000$ | $1$ | 30T428 | ||
25T81 | $C_5:F_5.A_5$ | $6000$ | $1$ | 30T602 | ||
25T88 | $\SOPlus(4,4)$ | $7200$ | $1$ | 10T40, 12T269, 20T363, 24T9631, 30T652, 36T7075, 40T5410 | ||
25T90 | $C_5^2.\GL(2,5)$ | $12000$ | $-1$ | 30T795 | ||
25T100 | $A_5^2:C_4$ | $14400$ | $-1$ | 10T42, 12T278, 20T457, 20T461, 24T12116, 30T817, 36T9861, 40T10509, 40T10510, 40T10511 | ||
25T101 | $\PGOPlus(4,5)$ | $14400$ | $1$ | 10T41, 12T279, 20T456, 20T459, 24T12117, 30T819, 36T9862, 40T10506, 40T10507, 40T10508 | ||
25T106 | $S_5\wr C_2$ | $28800$ | $-1$ | 10T43, 12T288, 20T539, 20T540, 20T542, 20T544, 24T13996, 24T13997, 24T13998, 30T1011, 36T13308, 40T14374, 40T14375, 40T14376, 40T14377, 40T14378, 40T14379, 40T14380, 40T14381 | ||
25T210 | $A_{25}$ | $7755605021665492992000000$ | $1$ | |||
25T211 | $S_{25}$ | $15511210043330985984000000$ | $-1$ | |||
26T42 | $\PSL(2,25)$ | $7800$ | $1$ | |||
26T55 | $\PGL(2,25)$ | $15600$ | $-1$ | |||
26T56 | $\PSL(2,25).C_2$ | $15600$ | $-1$ | |||
26T57 | $\PGOMinus(4,5)$ | $15600$ | $1$ | |||
26T62 | $\PSL(2,25).C_2^2$ | $31200$ | $-1$ | |||
26T95 | $A_{26}$ | $201645730563302817792000000$ | $1$ | |||
26T96 | $S_{26}$ | $403291461126605635584000000$ | $-1$ | |||
27T131 | $C_3^3:A_4$ | $324$ | $1$ | ✓ | 9T25, 12T132 x 2, 12T133, 18T141 x 2, 18T142, 18T143, 27T130, 36T511, 36T512, 36T524, 36T546 x 2, 36T547 | |
27T134 | $C_3^3:C_{13}$ | $351$ | $1$ | ✓ | 39T16 | |
27T213 | $S_3\wr C_3$ | $648$ | $-1$ | ✓ | 9T28, 12T176, 18T197 x 2, 18T198 x 2, 18T202, 18T204, 18T206, 18T207, 24T1528, 24T1539, 27T210, 36T1094 x 2, 36T1095, 36T1096 x 2, 36T1097, 36T1099, 36T1101, 36T1102, 36T1103, 36T1137, 36T1238 | |
27T214 | $C_3^3:S_4$ | $648$ | $-1$ | ✓ | 9T29, 12T175, 18T219, 18T220, 18T223, 18T224, 24T1527, 24T1540, 27T217, 36T1126, 36T1127, 36T1128, 36T1129, 36T1131, 36T1132, 36T1139, 36T1237 | |
27T216 | $C_3^3:S_4$ | $648$ | $1$ | ✓ | 9T30, 12T177 x 2, 12T178, 18T217, 18T218, 18T221, 18T222, 24T1529 x 2, 24T1530, 27T211, 36T1121, 36T1122, 36T1123, 36T1124, 36T1125, 36T1130, 36T1140, 36T1239 x 2, 36T1240 | |
27T219 | $C_3^3:C_{26}$ | $702$ | $-1$ | ✓ | 39T22 | |
27T292 | $C_3^3:C_{13}:C_3$ | $1053$ | $1$ | ✓ | 39T29, 39T30 x 2 | |
27T296 | $S_3\wr S_3$ | $1296$ | $-1$ | ✓ | 9T31, 12T213, 18T300, 18T303, 18T311, 18T312, 18T314, 18T315, 18T319, 18T320, 24T2893, 24T2894, 24T2895, 24T2912, 27T298, 36T2197, 36T2198, 36T2199, 36T2201, 36T2202, 36T2210, 36T2211, 36T2212, 36T2213, 36T2214, 36T2215, 36T2216, 36T2217, 36T2218, 36T2219, 36T2220, 36T2225, 36T2226, 36T2229, 36T2305 | |
27T422 | $\AGammaL(1,27)$ | $2106$ | $-1$ | ✓ | 39T37 | |
27T993 | $\PSp(4,3)$ | $25920$ | $1$ | 36T12781, 40T14344, 40T14345, 45T666 | ||
27T1161 | $\SO(5,3)$ | $51840$ | $1$ | 36T16210, 40T18793, 40T18794, 45T838 | ||
27T1426 | $C_3^3.\SL(3,3)$ | $151632$ | $1$ | 39T111, 39T112 x 2 | ||
27T1547 | $C_3^3:\GL(3,3)$ | $303264$ | $-1$ | 39T134 | ||
27T2391 | $A_{27}$ | $5444434725209176080384000000$ | $1$ | |||
27T2392 | $S_{27}$ | $10888869450418352160768000000$ | $-1$ |
Results are complete for degrees $\leq 23$.