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

Label Name Order Parity Solvable Subfields Low Degree Siblings
1T1 Trivial 1 1 Yes
3T1 $C_3$ 3 1 Yes
4T2 $C_2^2$ 4 1 Yes $C_2$ x 3
4T4 $A_4$ 12 1 Yes 6T4, 12T4
5T1 $C_5$ 5 1 Yes
5T2 $D_{5}$ 10 1 Yes 10T2
5T4 $A_5$ 60 1 No 6T12, 10T7, 12T33, 15T5, 20T15, 30T9
6T4 $A_4$ 12 1 Yes $C_3$ 4T4, 12T4
6T7 $S_4$ 24 1 Yes $S_3$ 4T5, 6T8, 8T14, 12T8, 12T9, 24T10
6T10 $C_3^2:C_4$ 36 1 Yes $C_2$ 6T10, 9T9, 12T17 x 2, 18T10, 36T14
6T12 $\PSL(2,5)$ 60 1 No 5T4, 10T7, 12T33, 15T5, 20T15, 30T9
6T15 $A_6$ 360 1 No 6T15, 10T26, 15T20 x 2, 20T89, 30T88 x 2, 36T555, 40T304, 45T49
7T1 $C_7$ 7 1 Yes
7T3 $C_7:C_3$ 21 1 Yes 21T2
7T5 $\GL(3,2)$ 168 1 No 7T5, 8T37, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
7T6 $A_7$ 2520 1 No 15T47 x 2, 21T33, 35T28, 42T294, 42T299
8T2 $C_4\times C_2$ 8 1 Yes $C_2$ x 3, $C_4$ x 2, $C_2^2$
8T3 $C_2^3$ 8 1 Yes $C_2$ x 7, $C_2^2$ x 7
8T4 $D_4$ 8 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2 4T3 x 2
8T5 $Q_8$ 8 1 Yes $C_2$ x 3, $C_2^2$
8T9 $D_4\times C_2$ 16 1 Yes $C_2$ x 3, $C_2^2$, $D_{4}$ x 2 8T9 x 3, 16T9
8T10 $C_2^2:C_4$ 16 1 Yes $C_2$, $C_4$, $D_{4}$ x 2 8T10, 16T10
8T11 $Q_8:C_2$ 16 1 Yes $C_2$ x 3, $C_2^2$ 8T11 x 2, 16T11
8T12 $\SL(2,3)$ 24 1 Yes $A_4$ 24T7
8T13 $A_4\times C_2$ 24 1 Yes $C_2$, $A_4$ 6T6, 12T6, 12T7, 24T9
8T14 $S_4$ 24 1 Yes $C_2$, $S_4$ 4T5, 6T7, 6T8, 12T8, 12T9, 24T10
8T18 $C_2^2 \wr C_2$ 32 1 Yes $C_2$, $D_{4}$ x 3 8T18 x 7, 16T39 x 6, 16T46, 32T24
8T19 $C_2^3 : C_4 $ 32 1 Yes $C_2$, $D_{4}$ 8T19, 8T20, 8T21, 16T33 x 2, 16T52, 16T53, 32T19
8T20 $C_2^3: C_4$ 32 1 Yes $C_2$, $C_4$ 8T19 x 2, 8T21, 16T33 x 2, 16T52, 16T53, 32T19
8T22 $C_2^3 : D_4 $ 32 1 Yes $C_2$ x 3, $C_2^2$ 8T22 x 5, 16T23 x 9, 32T9
8T24 $S_4\times C_2$ 48 1 Yes $C_2$, $S_4$ 6T11 x 2, 8T24, 12T21, 12T22, 12T23 x 2, 12T24 x 2, 16T61, 24T46, 24T47, 24T48 x 2
8T25 $C_2^3:C_7$ 56 1 Yes 14T6, 28T11
8T29 $(((C_4 \times C_2): C_2):C_2):C_2$ 64 1 Yes $C_2$, $D_{4}$ 8T29 x 5, 8T31 x 2, 16T127, 16T128 x 3, 16T129 x 3, 16T147, 16T149 x 6, 16T150 x 3, 32T136 x 3, 32T137 x 2, 32T163 x 3
8T32 $((C_2 \times D_4): C_2):C_3$ 96 1 Yes $A_4$ 8T32 x 2, 24T97 x 3, 24T149, 32T420
8T33 $C_2^4:C_6$ 96 1 Yes $C_2$ 8T33, 12T58 x 2, 12T59 x 2, 16T183, 24T181 x 2, 24T182 x 2, 24T183 x 2, 24T184 x 2, 24T185, 24T186, 32T389
8T34 $V_4^2:S_3$ 96 1 Yes $C_2$ 12T66 x 3, 12T67, 12T68 x 3, 12T69, 16T194, 24T195 x 3, 24T196 x 3, 24T197 x 3, 24T198, 24T199, 24T200 x 3, 32T398
8T36 $C_2^3:(C_7: C_3)$ 168 1 Yes 14T11, 24T283, 28T27, 42T26
8T37 $\PSL(2,7)$ 168 1 No 7T5 x 2, 14T10 x 2, 21T14, 24T284, 28T32, 42T37, 42T38 x 2
8T39 $C_2^3:S_4$ 192 1 Yes $S_4$ 8T39 x 5, 16T442 x 3, 24T333 x 6, 24T431 x 2, 32T2213 x 2
8T41 $V_4^2:(S_3\times C_2)$ 192 1 Yes $C_2$ 8T41, 12T108 x 2, 12T109 x 2, 12T110 x 2, 12T111 x 2, 16T435 x 2, 16T436, 24T516 x 2, 24T517 x 2, 24T518 x 2, 24T519 x 2, 24T520 x 2, 24T521 x 2, 24T522 x 2, 24T523, 24T524 x 2, 24T525 x 2, 24T526 x 2, 24T527, 24T528, 24T529, 32T2148, 32T2149 x 2
8T42 $A_4\wr C_2$ 288 1 Yes $C_2$ 12T126, 12T128, 12T129, 16T708, 18T112, 18T113, 24T692, 24T694, 24T695, 24T702, 24T703, 24T704, 32T9306, 36T316, 36T318, 36T456, 36T457, 36T458, 36T459
8T45 $(A_4\wr C_2):C_2$ 576 1 Yes $C_2$ 12T161, 12T163, 12T165 x 2, 16T1032, 16T1034, 18T179, 18T180, 18T185 x 2, 24T1490, 24T1492, 24T1493 x 2, 24T1494 x 2, 24T1495 x 2, 24T1503, 24T1504 x 2, 32T34597 x 2, 32T34598, 36T759, 36T760, 36T762, 36T763, 36T774 x 2, 36T775 x 2, 36T960, 36T961, 36T962 x 2, 36T963 x 2
8T48 $C_2^3:\GL(3,2)$ 1344 1 No 8T48, 14T34 x 2, 28T153, 28T159 x 2, 42T210 x 2, 42T211 x 2
8T49 $A_8$ 20160 1 No 15T72 x 2, 28T433, 35T36
9T1 $C_9$ 9 1 Yes $C_3$
9T2 $C_3^2$ 9 1 Yes $C_3$ x 4
9T3 $D_{9}$ 18 1 Yes $S_3$ 18T5
9T5 $C_3^2:C_2$ 18 1 Yes $S_3$ x 4 18T4
9T6 $C_9:C_3$ 27 1 Yes $C_3$ 27T5
9T7 $C_3^2:C_3$ 27 1 Yes $C_3$ 9T7 x 3, 27T3

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Results are complete for degrees $\leq 23$.