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Results (displaying matches 1-50 of at least 5000) Next

Label Name Order Parity Solvable Subfields Low Degree Siblings
2T1 $C_2$ 2 -1 Yes
3T2 $S_3$ 6 -1 Yes 6T2
4T1 $C_4$ 4 -1 Yes $C_2$
4T3 $D_{4}$ 8 -1 Yes $C_2$ 4T3, 8T4
4T5 $S_4$ 24 -1 Yes 6T7, 6T8, 8T14, 12T8, 12T9, 24T10
5T3 $F_5$ 20 -1 Yes 10T4, 20T5
5T5 $S_5$ 120 -1 No 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T1 $C_6$ 6 -1 Yes $C_2$, $C_3$
6T2 $S_3$ 6 -1 Yes $C_2$, $S_3$ 3T2
6T3 $D_{6}$ 12 -1 Yes $C_2$, $S_3$ 6T3, 12T3
6T5 $S_3\times C_3$ 18 -1 Yes $C_2$ 9T4, 18T3
6T6 $A_4\times C_2$ 24 -1 Yes $C_3$ 8T13, 12T6, 12T7, 24T9
6T8 $S_4$ 24 -1 Yes $S_3$ 4T5, 6T7, 8T14, 12T8, 12T9, 24T10
6T9 $S_3^2$ 36 -1 Yes $C_2$ 9T8, 12T16, 18T9, 18T11 x 2, 36T13
6T11 $S_4\times C_2$ 48 -1 Yes $S_3$ 6T11, 8T24 x 2, 12T21, 12T22, 12T23 x 2, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
6T13 $C_3^2:D_4$ 72 -1 Yes $C_2$ 6T13, 9T16, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
6T14 $\PGL(2,5)$ 120 -1 No 5T5, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
6T16 $S_6$ 720 -1 No 6T16, 10T32, 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
7T2 $D_{7}$ 14 -1 Yes 14T2
7T4 $F_7$ 42 -1 Yes 14T4, 21T4, 42T4
7T7 $S_7$ 5040 -1 No 14T46, 21T38, 30T565, 35T31, 42T411, 42T412, 42T413, 42T418
8T1 $C_8$ 8 -1 Yes $C_2$, $C_4$
8T6 $D_{8}$ 16 -1 Yes $C_2$, $D_{4}$ 8T6, 16T13
8T7 $C_8:C_2$ 16 -1 Yes $C_2$, $C_4$ 16T6
8T8 $QD_{16}$ 16 -1 Yes $C_2$, $D_{4}$ 16T12
8T15 $Z_8 : Z_8^\times$ 32 -1 Yes $C_2$, $D_{4}$ 8T15, 16T35, 16T38 x 2, 16T45, 32T21
8T16 $(C_8:C_2):C_2$ 32 -1 Yes $C_2$, $C_4$ 8T16, 16T36, 16T41 x 2, 32T22
8T17 $C_4\wr C_2$ 32 -1 Yes $C_2$, $D_{4}$ 8T17, 16T28, 16T42, 32T14
8T21 $C_2^3: C_4$ 32 -1 Yes $C_2$ x 3, $C_2^2$ 8T19 x 2, 8T20, 16T33 x 2, 16T52, 16T53, 32T19
8T23 $\textrm{GL(2,3)}$ 48 -1 Yes $S_4$ 8T23, 16T66, 24T22
8T26 $(C_4^2 : C_2):C_2$ 64 -1 Yes $C_2$, $D_{4}$ 8T26 x 3, 16T135 x 2, 16T141 x 2, 16T142 x 2, 16T152 x 2, 32T147 x 2, 32T148 x 2, 32T155, 32T156
8T27 $((C_8 : C_2):C_2):C_2$ 64 -1 Yes $C_2$, $C_4$ 8T27, 8T28 x 2, 16T130, 16T157 x 2, 16T158 x 2, 16T159 x 2, 16T166, 16T170, 16T171, 16T172, 32T138 x 2, 32T139, 32T170, 32T176
8T28 $(((C_4 \times C_2): C_2):C_2):C_2$ 64 -1 Yes $C_2$, $D_{4}$ 8T27 x 2, 8T28, 16T130, 16T157 x 2, 16T158 x 2, 16T159 x 2, 16T166, 16T170, 16T171, 16T172, 32T138 x 2, 32T139, 32T170, 32T176
8T30 $(((C_4 \times C_2): C_2):C_2):C_2$ 64 -1 Yes $C_2$, $D_{4}$ 8T30 x 3, 16T143 x 2, 16T167 x 2, 16T168 x 2, 16T169 x 2, 32T157 x 2, 32T177, 32T178
8T31 $(((C_4 \times C_2): C_2):C_2):C_2$ 64 -1 Yes $C_2$ x 3, $C_2^2$ 8T29 x 6, 8T31, 16T127, 16T128 x 3, 16T129 x 3, 16T147, 16T149 x 6, 16T150 x 3, 32T136 x 3, 32T137 x 2, 32T163 x 3
8T35 $C_2 \wr C_2\wr C_2$ 128 -1 Yes $C_2$, $D_{4}$ 8T35 x 7, 16T376 x 4, 16T388 x 4, 16T390 x 4, 16T391 x 4, 16T393 x 4, 16T395 x 4, 16T396 x 4, 16T401 x 4, 32T852 x 4, 32T853 x 2, 32T854 x 2, 32T872 x 2, 32T876 x 4, 32T877 x 2, 32T880 x 2, 32T882 x 2, 32T883 x 4, 32T884 x 2, 32T885 x 2
8T38 $C_2\wr A_4$ 192 -1 Yes $A_4$ 8T38, 16T425, 16T427, 24T288 x 2, 24T425 x 2, 32T2185 x 2
8T40 $Q_8:S_4$ 192 -1 Yes $S_4$ 8T40, 16T444, 16T445, 24T332 x 2, 24T430 x 2, 32T2215 x 2
8T43 $\PGL(2,7)$ 336 -1 No 14T16, 16T713, 21T20, 24T707, 28T42, 28T46, 42T81, 42T82, 42T83
8T44 $C_2 \wr S_4$ 384 -1 Yes $S_4$ 8T44 x 3, 16T736 x 2, 16T743 x 2, 16T748 x 2, 16T752 x 2, 24T708 x 4, 24T1151 x 4, 32T9340, 32T9355, 32T9459 x 4
8T46 $A_4^2:C_4$ 576 -1 Yes $C_2$ 12T160, 12T162, 16T1030, 16T1031, 18T182, 18T184, 24T1489, 24T1491, 24T1505, 24T1506 x 2, 24T1508, 32T34594, 36T764, 36T765, 36T766, 36T767, 36T964, 36T965
8T47 $S_4\wr C_2$ 1152 -1 Yes $C_2$ 12T200, 12T201, 12T202, 12T203, 16T1292, 16T1294, 16T1295, 16T1296, 18T272, 18T273, 18T274, 18T275, 24T2803, 24T2804, 24T2805, 24T2806, 24T2807, 24T2808, 24T2809, 24T2810, 24T2821, 24T2826, 32T96692, 32T96694, 32T96695, 32T96696, 36T1758, 36T1759, 36T1760, 36T1761, 36T1762, 36T1763, 36T1764, 36T1765, 36T1766, 36T1767, 36T1768, 36T1769, 36T1943, 36T1944, 36T1945, 36T1946
8T50 $S_8$ 40320 -1 No 16T1838, 28T502, 30T1153, 35T44
9T4 $S_3\times C_3$ 18 -1 Yes $C_3$, $S_3$ 6T5, 18T3
9T8 $S_3^2$ 36 -1 Yes $S_3$ x 2 6T9, 12T16, 18T9, 18T11 x 2, 36T13
9T12 $(C_3^2:C_3):C_2$ 54 -1 Yes $S_3$ 9T12 x 3, 18T24 x 4, 27T6
9T13 $C_3^2 : S_3 $ 54 -1 Yes $C_3$ 9T11, 18T20, 18T21, 18T22, 27T11
9T15 $C_3^2:C_8$ 72 -1 Yes 12T46, 18T28, 24T81, 36T49
9T16 $S_3^2:C_2$ 72 -1 Yes 6T13 x 2, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
9T18 $C_3^2 : D_{6} $ 108 -1 Yes $S_3$ 9T18, 18T51 x 2, 18T55 x 2, 18T56, 18T57 x 2, 27T29, 36T87 x 2, 36T90

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Results are complete for degrees $\leq 23$.