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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 8868 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
24T16062 $C_2^4:A_4.A_6$ $69120$ $1$ $A_6$ 36T17380
24T16063 $C_3^7:C_4.D_4$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16063 x 3, 36T17869 x 4
24T16064 $C_3^6.D_8:C_6$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16064 x 3, 36T17891 x 4
24T16065 $C_3^6.C_8:D_6$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16065 x 3, 36T17920 x 4
24T16066 $C_3^6.C_8:D_6$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16066 x 3, 36T17917 x 4
24T16067 $C_3^7:C_4.D_4$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16067 x 3, 36T17885 x 4
24T16068 $C_5^4:C_4.D_{12}$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $Z_8 : Z_8^\times$ 24T16068 x 3, 36T17878 x 4
24T16069 $C_3^7:C_4.D_4$ $69984$ $-1$ ✓ $C_2$, $C_4$, $(C_8:C_2):C_2$ 24T16069 x 7, 36T17849 x 8
24T16070 $C_3^6:C_4.D_{12}$ $69984$ $-1$ ✓ $C_2$, $C_4$, $(C_8:C_2):C_2$ 24T16070 x 7, 36T17883 x 8
24T16071 $C_3^7:C_4.D_4$ $69984$ $-1$ ✓ $C_2$, $C_4$, $(C_8:C_2):C_2$ 24T16071 x 7, 36T17851 x 8
24T16072 $C_3^7:C_4\wr C_2$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $C_4\wr C_2$ 24T16072 x 3, 36T17884 x 4
24T16073 $C_3^7:C_4\wr C_2$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $C_4\wr C_2$ 24T16073 x 3, 36T17890 x 4
24T16074 $C_3^7:C_4\wr C_2$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $C_4\wr C_2$ 24T16074 x 3, 36T17879 x 4
24T16075 $C_3^7:C_4\wr C_2$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $C_4\wr C_2$ 24T16075 x 3, 36T17868 x 4
24T16076 $C_3^7:C_2^2\wr C_2$ $69984$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 24T16076, 36T17888 x 6
24T16077 $C_3^7:C_2^2\wr C_2$ $69984$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 24T16077, 36T17870 x 6
24T16078 $C_3^7:C_2^2\wr C_2$ $69984$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 24T16078, 36T17887 x 2, 36T17913 x 4
24T16079 $C_3^7:C_2^2\wr C_2$ $69984$ $1$ ✓ $C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$ 24T16079, 36T17876 x 2, 36T17914 x 4
24T16080 $C_3^6.C_2^3:C_{12}$ $69984$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 24T16080, 36T17889 x 2
24T16081 $C_3^5:D_6.D_{12}$ $69984$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 24T16081, 36T17871 x 2
24T16082 $C_3^7:C_2^2.D_4$ $69984$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 24T16082, 36T17886 x 2
24T16083 $C_3^4:C_6^2.D_{12}$ $69984$ $1$ ✓ $C_2$, $D_{4}$, $C_2^3 : C_4 $ 24T16083, 36T17877 x 2
24T16084 $C_3^4.C_6^3:C_4$ $69984$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 24T16084 x 7, 36T17850 x 8
24T16085 $C_3^5:D_6.D_{12}$ $69984$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 24T16085 x 7, 36T17881 x 8
24T16086 $C_3^4.C_6^3:C_4$ $69984$ $1$ ✓ $C_2$, $C_4$, $C_2^3: C_4$ 24T16086 x 7, 36T17852 x 8
24T16087 $C_3^2:S_3^3.S_3^2$ $69984$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $C_2^3: C_4$ 24T16087 x 3, 36T17847 x 4
24T16088 $C_3^2:S_3^3.S_3^2$ $69984$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $C_2^3: C_4$ 24T16088 x 3, 36T17846 x 4
24T16089 $C_3^3:S_3^3.C_{12}$ $69984$ $-1$ ✓ $C_2$ x 3, $C_2^2$, $C_2^3: C_4$ 24T16089 x 3, 36T17845 x 4
24T16090 $C_3^4:C_6.D_6^2$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 24T16090 x 3, 36T17844 x 4
24T16091 $C_3^4:C_6.D_6^2$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 24T16091 x 3, 36T17848 x 4
24T16092 $C_3^2:S_3^2.S_3^3$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 24T16092 x 3, 36T17874 x 4
24T16093 $C_3^2:S_3^2.S_3^3$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2^2$ 24T16093 x 3, 36T17872 x 4
24T16094 $C_3^6:(C_2^3:A_4)$ $69984$ $1$ ✓ $C_2$, $C_2^4:C_6$ 18T745, 18T748, 24T16095 x 2, 27T1254, 36T17665, 36T17666, 36T17667 x 2, 36T17668 x 2, 36T17669 x 2, 36T17670 x 2, 36T17671 x 2, 36T17672 x 2, 36T17673, 36T17686, 36T17687, 36T17688, 36T17689, 36T17690, 36T17691, 36T17692, 36T17834, 36T17835
24T16095 $C_3^6:(C_2^3:A_4)$ $69984$ $1$ ✓ $C_2$, $C_2^4:C_6$ 18T745, 18T748, 24T16094, 24T16095, 27T1254, 36T17665, 36T17666, 36T17667 x 2, 36T17668 x 2, 36T17669 x 2, 36T17670 x 2, 36T17671 x 2, 36T17672 x 2, 36T17673, 36T17686, 36T17687, 36T17688, 36T17689, 36T17690, 36T17691, 36T17692, 36T17834, 36T17835
24T16096 $C_3^5:D_6:S_4$ $69984$ $1$ ✓ $C_2$, $V_4^2:S_3$ 18T757 x 3, 18T761, 24T16097 x 2, 27T1229 x 3, 36T17745 x 3, 36T17746 x 3, 36T17747 x 3, 36T17748 x 3, 36T17749 x 3, 36T17750 x 3, 36T17751 x 3, 36T17767 x 2, 36T17768 x 3, 36T17769 x 3, 36T17770 x 6, 36T17771, 36T17843
24T16097 $C_3^5:D_6:S_4$ $69984$ $1$ ✓ $C_2$, $V_4^2:S_3$ 18T757 x 3, 18T761, 24T16096, 24T16097, 27T1229 x 3, 36T17745 x 3, 36T17746 x 3, 36T17747 x 3, 36T17748 x 3, 36T17749 x 3, 36T17750 x 3, 36T17751 x 3, 36T17767 x 2, 36T17768 x 3, 36T17769 x 3, 36T17770 x 6, 36T17771, 36T17843
24T16098 $C_3^6:(D_4\times A_4)$ $69984$ $1$ ✓ $C_2$, $A_4$, $A_4\times C_2$ 18T738 x 2, 24T16098, 27T1236, 36T17608 x 2, 36T17609 x 2, 36T17610 x 2, 36T17611 x 2, 36T17612 x 2, 36T17613 x 2, 36T17614 x 4, 36T17615 x 4, 36T17616 x 4, 36T17617 x 4, 36T17618 x 2, 36T17780 x 2, 36T17806 x 2, 36T17939
24T16099 $C_3^6.\GL(2,\mathbb{Z}/4)$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4$ 18T749, 18T751, 18T752 x 2, 24T16109, 27T1231 x 2, 27T1243, 36T17693, 36T17694, 36T17695, 36T17696, 36T17697, 36T17698, 36T17699 x 2, 36T17700 x 2, 36T17701 x 2, 36T17702 x 2, 36T17703, 36T17711, 36T17712, 36T17713, 36T17714, 36T17715, 36T17716, 36T17717, 36T17718 x 2, 36T17719 x 2, 36T17720 x 2, 36T17721 x 2, 36T17722 x 2, 36T17723 x 2, 36T17724 x 2, 36T17781, 36T17797, 36T17801, 36T17944
24T16100 $C_3^7:(C_2\times D_8)$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $D_{8}$ 24T16100 x 15, 36T17918 x 16
24T16101 $C_3^7:(C_2\times \OD_{16})$ $69984$ $-1$ ✓ $C_2$, $C_4$, $C_8:C_2$ 24T16101 x 15, 36T17882 x 16
24T16102 $C_3^7:(C_2\times \SD_{16})$ $69984$ $-1$ ✓ $C_2$, $D_{4}$, $QD_{16}$ 24T16102 x 3, 36T17919 x 4
24T16103 $C_3^7:(C_2^2\times D_4)$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$ 24T16103 x 3, 36T17873 x 4, 36T17916 x 8
24T16104 $C_3^4.S_3^3:C_4$ $69984$ $1$ ✓ $C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$ 24T16104 x 7, 36T17880 x 8, 36T17915 x 16
24T16105 $C_3^2:S_3^2.S_3^3$ $69984$ $1$ ✓ $C_2$ x 3, $C_2^2$, $Q_8:C_2$ 24T16105 x 7, 36T17875 x 8
24T16106 $C_3^5:(S_3\times \GL(2,3))$ $69984$ $-1$ ✓ $S_4$, $\textrm{GL(2,3)}$ 24T16106, 36T17921 x 2
24T16107 $C_3^6.(C_2\times \GL(2,3))$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$ 36T17922
24T16108 $C_3^6.(C_2^2\times S_4)$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$ 18T739, 27T1246, 36T17619, 36T17620, 36T17621, 36T17622, 36T17623, 36T17624, 36T17625, 36T17788, 36T17791 x 2, 36T17794, 36T17796, 36T17923
24T16109 $C_3^6.\GL(2,\mathbb{Z}/4)$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$ 18T749, 18T751, 18T752 x 2, 24T16099, 27T1231 x 2, 27T1243, 36T17693, 36T17694, 36T17695, 36T17696, 36T17697, 36T17698, 36T17699 x 2, 36T17700 x 2, 36T17701 x 2, 36T17702 x 2, 36T17703, 36T17711, 36T17712, 36T17713, 36T17714, 36T17715, 36T17716, 36T17717, 36T17718 x 2, 36T17719 x 2, 36T17720 x 2, 36T17721 x 2, 36T17722 x 2, 36T17723 x 2, 36T17724 x 2, 36T17781, 36T17797, 36T17801, 36T17944
24T16110 $C_3^6:(C_4\times S_4)$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$ 18T741 x 2, 24T16110, 27T1234, 36T17633 x 2, 36T17634 x 2, 36T17635 x 2, 36T17636 x 2, 36T17637 x 2, 36T17638 x 2, 36T17639 x 2, 36T17798 x 2, 36T17802 x 2, 36T17940
24T16111 $C_3^5:D_6:D_{12}$ $69984$ $1$ ✓ $C_2$, $S_4$, $S_4\times C_2$ 18T750 x 2, 24T16111, 27T1242, 36T17704 x 2, 36T17705 x 2, 36T17706 x 2, 36T17707 x 2, 36T17708 x 2, 36T17709 x 2, 36T17710 x 2, 36T17799 x 2, 36T17800 x 2, 36T17943
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Results are complete for degrees $\leq 23$.