# Extensions 1→N→G→Q→1 with N=C23 and Q=C22×C4

Direct product G=N×Q with N=C23 and Q=C22×C4
dρLabelID
C25×C4128C2^5xC4128,2319

Semidirect products G=N:Q with N=C23 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C231(C22×C4) = C4×C22≀C2φ: C22×C4/C4C22 ⊆ Aut C2332C2^3:1(C2^2xC4)128,1031
C232(C22×C4) = C4×2+ 1+4φ: C22×C4/C4C22 ⊆ Aut C2332C2^3:2(C2^2xC4)128,2161
C233(C22×C4) = C22×C23⋊C4φ: C22×C4/C22C4 ⊆ Aut C2332C2^3:3(C2^2xC4)128,1613
C234(C22×C4) = C2×C23.23D4φ: C22×C4/C22C22 ⊆ Aut C2364C2^3:4(C2^2xC4)128,1019
C235(C22×C4) = C2×C22.11C24φ: C22×C4/C22C22 ⊆ Aut C2332C2^3:5(C2^2xC4)128,2157
C236(C22×C4) = D4×C22×C4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3:6(C2^2xC4)128,2154
C237(C22×C4) = C23×C22⋊C4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3:7(C2^2xC4)128,2151

Non-split extensions G=N.Q with N=C23 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C23.1(C22×C4) = C4×C23⋊C4φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.1(C2^2xC4)128,486
C23.2(C22×C4) = C23.5C42φ: C22×C4/C4C22 ⊆ Aut C23324C2^3.2(C2^2xC4)128,489
C23.3(C22×C4) = 2+ 1+42C4φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.3(C2^2xC4)128,522
C23.4(C22×C4) = 2+ 1+4.2C4φ: C22×C4/C4C22 ⊆ Aut C23324C2^3.4(C2^2xC4)128,523
C23.5(C22×C4) = C24.22D4φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.5(C2^2xC4)128,599
C23.6(C22×C4) = (C2×D4).Q8φ: C22×C4/C4C22 ⊆ Aut C23324C2^3.6(C2^2xC4)128,600
C23.7(C22×C4) = C4×C4.4D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.7(C2^2xC4)128,1035
C23.8(C22×C4) = C4×C422C2φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.8(C2^2xC4)128,1036
C23.9(C22×C4) = C4×C41D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.9(C2^2xC4)128,1038
C23.10(C22×C4) = C4213D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.10(C2^2xC4)128,1056
C23.11(C22×C4) = C24.198C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.11(C2^2xC4)128,1057
C23.12(C22×C4) = C42.160D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.12(C2^2xC4)128,1058
C23.13(C22×C4) = C4214D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.13(C2^2xC4)128,1060
C23.14(C22×C4) = C23.215C24φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.14(C2^2xC4)128,1065
C23.15(C22×C4) = C24.203C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.15(C2^2xC4)128,1066
C23.16(C22×C4) = C24.204C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.16(C2^2xC4)128,1067
C23.17(C22×C4) = C24.205C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.17(C2^2xC4)128,1069
C23.18(C22×C4) = C24.215C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.18(C2^2xC4)128,1093
C23.19(C22×C4) = C24.217C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.19(C2^2xC4)128,1095
C23.20(C22×C4) = C24.218C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.20(C2^2xC4)128,1096
C23.21(C22×C4) = C24.219C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.21(C2^2xC4)128,1098
C23.22(C22×C4) = C24.220C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.22(C2^2xC4)128,1099
C23.23(C22×C4) = C24.221C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.23(C2^2xC4)128,1104
C23.24(C22×C4) = C23.255C24φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.24(C2^2xC4)128,1105
C23.25(C22×C4) = C24.223C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.25(C2^2xC4)128,1106
C23.26(C22×C4) = C23.257C24φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.26(C2^2xC4)128,1107
C23.27(C22×C4) = C24.225C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.27(C2^2xC4)128,1108
C23.28(C22×C4) = C23.259C24φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.28(C2^2xC4)128,1109
C23.29(C22×C4) = C23.261C24φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.29(C2^2xC4)128,1111
C23.30(C22×C4) = C23.262C24φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.30(C2^2xC4)128,1112
C23.31(C22×C4) = C24.230C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.31(C2^2xC4)128,1115
C23.32(C22×C4) = C42.264C23φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.32(C2^2xC4)128,1661
C23.33(C22×C4) = C42.265C23φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.33(C2^2xC4)128,1662
C23.34(C22×C4) = C42.681C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.34(C2^2xC4)128,1663
C23.35(C22×C4) = C42.266C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.35(C2^2xC4)128,1664
C23.36(C22×C4) = M4(2)⋊22D4φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.36(C2^2xC4)128,1665
C23.37(C22×C4) = M4(2)⋊23D4φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.37(C2^2xC4)128,1667
C23.38(C22×C4) = C42.291C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.38(C2^2xC4)128,1698
C23.39(C22×C4) = C42.292C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.39(C2^2xC4)128,1699
C23.40(C22×C4) = C42.294C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.40(C2^2xC4)128,1701
C23.41(C22×C4) = C42.298C23φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.41(C2^2xC4)128,1709
C23.42(C22×C4) = C42.299C23φ: C22×C4/C4C22 ⊆ Aut C2332C2^3.42(C2^2xC4)128,1710
C23.43(C22×C4) = C42.694C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.43(C2^2xC4)128,1711
C23.44(C22×C4) = C42.300C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.44(C2^2xC4)128,1712
C23.45(C22×C4) = C42.301C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.45(C2^2xC4)128,1713
C23.46(C22×C4) = C42.307C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.46(C2^2xC4)128,1724
C23.47(C22×C4) = C42.308C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.47(C2^2xC4)128,1725
C23.48(C22×C4) = C42.309C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.48(C2^2xC4)128,1726
C23.49(C22×C4) = C42.310C23φ: C22×C4/C4C22 ⊆ Aut C2364C2^3.49(C2^2xC4)128,1727
C23.50(C22×C4) = C4.22C25φ: C22×C4/C4C22 ⊆ Aut C23324C2^3.50(C2^2xC4)128,2305
C23.51(C22×C4) = C2×C2≀C4φ: C22×C4/C22C4 ⊆ Aut C2316C2^3.51(C2^2xC4)128,850
C23.52(C22×C4) = C2×C23.D4φ: C22×C4/C22C4 ⊆ Aut C2332C2^3.52(C2^2xC4)128,851
C23.53(C22×C4) = C4○C2≀C4φ: C22×C4/C22C4 ⊆ Aut C23164C2^3.53(C2^2xC4)128,852
C23.54(C22×C4) = C24.36D4φ: C22×C4/C22C4 ⊆ Aut C23168+C2^3.54(C2^2xC4)128,853
C23.55(C22×C4) = C2≀C4⋊C2φ: C22×C4/C22C4 ⊆ Aut C23168+C2^3.55(C2^2xC4)128,854
C23.56(C22×C4) = C23.(C2×D4)φ: C22×C4/C22C4 ⊆ Aut C23328-C2^3.56(C2^2xC4)128,855
C23.57(C22×C4) = C2×C23.C23φ: C22×C4/C22C4 ⊆ Aut C2332C2^3.57(C2^2xC4)128,1614
C23.58(C22×C4) = C23.C24φ: C22×C4/C22C4 ⊆ Aut C23168+C2^3.58(C2^2xC4)128,1615
C23.59(C22×C4) = C23.4C24φ: C22×C4/C22C4 ⊆ Aut C23328-C2^3.59(C2^2xC4)128,1616
C23.60(C22×C4) = C2×M4(2).8C22φ: C22×C4/C22C4 ⊆ Aut C2332C2^3.60(C2^2xC4)128,1619
C23.61(C22×C4) = M4(2).24C23φ: C22×C4/C22C4 ⊆ Aut C23168+C2^3.61(C2^2xC4)128,1620
C23.62(C22×C4) = C2×C23.9D4φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.62(C2^2xC4)128,471
C23.63(C22×C4) = C2×M4(2)⋊4C4φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.63(C2^2xC4)128,475
C23.64(C22×C4) = C24.C23φ: C22×C4/C22C22 ⊆ Aut C23168+C2^3.64(C2^2xC4)128,560
C23.65(C22×C4) = C24.6(C2×C4)φ: C22×C4/C22C22 ⊆ Aut C23168+C2^3.65(C2^2xC4)128,561
C23.66(C22×C4) = (C2×Q8).211D4φ: C22×C4/C22C22 ⊆ Aut C23328-C2^3.66(C2^2xC4)128,562
C23.67(C22×C4) = C25.C22φ: C22×C4/C22C22 ⊆ Aut C2316C2^3.67(C2^2xC4)128,621
C23.68(C22×C4) = C24.26D4φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.68(C2^2xC4)128,622
C23.69(C22×C4) = (C2×C8)⋊D4φ: C22×C4/C22C22 ⊆ Aut C23164C2^3.69(C2^2xC4)128,623
C23.70(C22×C4) = C24.28D4φ: C22×C4/C22C22 ⊆ Aut C23168+C2^3.70(C2^2xC4)128,645
C23.71(C22×C4) = M4(2)⋊21D4φ: C22×C4/C22C22 ⊆ Aut C23168+C2^3.71(C2^2xC4)128,646
C23.72(C22×C4) = M4(2).50D4φ: C22×C4/C22C22 ⊆ Aut C23328-C2^3.72(C2^2xC4)128,647
C23.73(C22×C4) = C2×C24.C22φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.73(C2^2xC4)128,1021
C23.74(C22×C4) = C2×C24.3C22φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.74(C2^2xC4)128,1024
C23.75(C22×C4) = C439C2φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.75(C2^2xC4)128,1025
C23.76(C22×C4) = C23.179C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.76(C2^2xC4)128,1029
C23.77(C22×C4) = C432C2φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.77(C2^2xC4)128,1030
C23.78(C22×C4) = C24.90D4φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.78(C2^2xC4)128,1040
C23.79(C22×C4) = C23.191C24φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.79(C2^2xC4)128,1041
C23.80(C22×C4) = C24.542C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.80(C2^2xC4)128,1043
C23.81(C22×C4) = C23.194C24φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.81(C2^2xC4)128,1044
C23.82(C22×C4) = C24.192C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.82(C2^2xC4)128,1046
C23.83(C22×C4) = C23.201C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.83(C2^2xC4)128,1051
C23.84(C22×C4) = C23.203C24φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.84(C2^2xC4)128,1053
C23.85(C22×C4) = C42.159D4φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.85(C2^2xC4)128,1055
C23.86(C22×C4) = C23.214C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.86(C2^2xC4)128,1064
C23.87(C22×C4) = C23.223C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.87(C2^2xC4)128,1073
C23.88(C22×C4) = C24.208C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.88(C2^2xC4)128,1078
C23.89(C22×C4) = C23.229C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.89(C2^2xC4)128,1079
C23.90(C22×C4) = C23.234C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.90(C2^2xC4)128,1084
C23.91(C22×C4) = C23.235C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.91(C2^2xC4)128,1085
C23.92(C22×C4) = C23.236C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.92(C2^2xC4)128,1086
C23.93(C22×C4) = C24.212C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.93(C2^2xC4)128,1089
C23.94(C22×C4) = C23.244C24φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.94(C2^2xC4)128,1094
C23.95(C22×C4) = C24.227C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.95(C2^2xC4)128,1110
C23.96(C22×C4) = C24.73(C2×C4)φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.96(C2^2xC4)128,1611
C23.97(C22×C4) = D4○(C22⋊C8)φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.97(C2^2xC4)128,1612
C23.98(C22×C4) = M4(2).25C23φ: C22×C4/C22C22 ⊆ Aut C23328-C2^3.98(C2^2xC4)128,1621
C23.99(C22×C4) = C42.259C23φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.99(C2^2xC4)128,1653
C23.100(C22×C4) = C42.260C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.100(C2^2xC4)128,1654
C23.101(C22×C4) = C42.261C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.101(C2^2xC4)128,1655
C23.102(C22×C4) = C42.678C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.102(C2^2xC4)128,1657
C23.103(C22×C4) = C2×C89D4φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.103(C2^2xC4)128,1659
C23.104(C22×C4) = C2×C86D4φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.104(C2^2xC4)128,1660
C23.105(C22×C4) = Q86M4(2)φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.105(C2^2xC4)128,1703
C23.106(C22×C4) = C42.693C23φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.106(C2^2xC4)128,1707
C23.107(C22×C4) = C42.696C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.107(C2^2xC4)128,1717
C23.108(C22×C4) = C42.304C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.108(C2^2xC4)128,1718
C23.109(C22×C4) = C42.305C23φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.109(C2^2xC4)128,1719
C23.110(C22×C4) = Q87M4(2)φ: C22×C4/C22C22 ⊆ Aut C2364C2^3.110(C2^2xC4)128,1723
C23.111(C22×C4) = C22.14C25φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.111(C2^2xC4)128,2160
C23.112(C22×C4) = C2×Q8○M4(2)φ: C22×C4/C22C22 ⊆ Aut C2332C2^3.112(C2^2xC4)128,2304
C23.113(C22×C4) = D4×C42φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.113(C2^2xC4)128,1003
C23.114(C22×C4) = C24.524C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.114(C2^2xC4)128,1006
C23.115(C22×C4) = D44C42φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.115(C2^2xC4)128,1007
C23.116(C22×C4) = C2×C23.8Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.116(C2^2xC4)128,1018
C23.117(C22×C4) = C4242D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.117(C2^2xC4)128,1022
C23.118(C22×C4) = C23.178C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.118(C2^2xC4)128,1028
C23.119(C22×C4) = C4×C4⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.119(C2^2xC4)128,1032
C23.120(C22×C4) = C4×C22.D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.120(C2^2xC4)128,1033
C23.121(C22×C4) = C4×C22⋊Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.121(C2^2xC4)128,1034
C23.122(C22×C4) = C24.91D4φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.122(C2^2xC4)128,1047
C23.123(C22×C4) = C23.199C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.123(C2^2xC4)128,1049
C23.124(C22×C4) = C24.547C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.124(C2^2xC4)128,1050
C23.125(C22×C4) = C24.195C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.125(C2^2xC4)128,1054
C23.126(C22×C4) = C23.211C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.126(C2^2xC4)128,1061
C23.127(C22×C4) = C24.549C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.127(C2^2xC4)128,1071
C23.128(C22×C4) = C23.225C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.128(C2^2xC4)128,1075
C23.129(C22×C4) = D4×C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.129(C2^2xC4)128,1080
C23.130(C22×C4) = C23.231C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.130(C2^2xC4)128,1081
C23.131(C22×C4) = C23.240C24φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.131(C2^2xC4)128,1090
C23.132(C22×C4) = C23.241C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.132(C2^2xC4)128,1091
C23.133(C22×C4) = C24.558C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.133(C2^2xC4)128,1092
C23.134(C22×C4) = C23.250C24φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.134(C2^2xC4)128,1100
C23.135(C22×C4) = M4(2)○2M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.135(C2^2xC4)128,1605
C23.136(C22×C4) = C4×C8○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.136(C2^2xC4)128,1606
C23.137(C22×C4) = D4.5C42φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.137(C2^2xC4)128,1607
C23.138(C22×C4) = C42.257C23φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.138(C2^2xC4)128,1637
C23.139(C22×C4) = C42.674C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.139(C2^2xC4)128,1638
C23.140(C22×C4) = D4×C2×C8φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.140(C2^2xC4)128,1658
C23.141(C22×C4) = D4×M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.141(C2^2xC4)128,1666
C23.142(C22×C4) = C42.286C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.142(C2^2xC4)128,1692
C23.143(C22×C4) = C42.287C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.143(C2^2xC4)128,1693
C23.144(C22×C4) = M4(2)⋊9Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.144(C2^2xC4)128,1694
C23.145(C22×C4) = C8×C4○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.145(C2^2xC4)128,1696
C23.146(C22×C4) = C42.290C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.146(C2^2xC4)128,1697
C23.147(C22×C4) = C42.293C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.147(C2^2xC4)128,1700
C23.148(C22×C4) = D46M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.148(C2^2xC4)128,1702
C23.149(C22×C4) = C42.691C23φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.149(C2^2xC4)128,1704
C23.150(C22×C4) = C42.297C23φ: C22×C4/C2×C4C2 ⊆ Aut C2332C2^3.150(C2^2xC4)128,1708
C23.151(C22×C4) = C42.697C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.151(C2^2xC4)128,1720
C23.152(C22×C4) = C42.698C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.152(C2^2xC4)128,1721
C23.153(C22×C4) = D48M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.153(C2^2xC4)128,1722
C23.154(C22×C4) = C2×C4×C4○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.154(C2^2xC4)128,2156
C23.155(C22×C4) = C2×C23.33C23φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.155(C2^2xC4)128,2159
C23.156(C22×C4) = C22×C8○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2364C2^3.156(C2^2xC4)128,2303
C23.157(C22×C4) = C2×C23⋊C8φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.157(C2^2xC4)128,188
C23.158(C22×C4) = C2×C22.M4(2)φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.158(C2^2xC4)128,189
C23.159(C22×C4) = C42.371D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.159(C2^2xC4)128,190
C23.160(C22×C4) = C23.8M4(2)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.160(C2^2xC4)128,191
C23.161(C22×C4) = C42.393D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.161(C2^2xC4)128,192
C23.162(C22×C4) = C42.394D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.162(C2^2xC4)128,193
C23.163(C22×C4) = C25.3C4φ: C22×C4/C23C2 ⊆ Aut C2316C2^3.163(C2^2xC4)128,194
C23.164(C22×C4) = (C2×C4)⋊M4(2)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.164(C2^2xC4)128,195
C23.165(C22×C4) = C42.42D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.165(C2^2xC4)128,196
C23.166(C22×C4) = C23⋊M4(2)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.166(C2^2xC4)128,197
C23.167(C22×C4) = C42.43D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.167(C2^2xC4)128,198
C23.168(C22×C4) = C42.44D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.168(C2^2xC4)128,199
C23.169(C22×C4) = C23⋊C8⋊C2φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.169(C2^2xC4)128,200
C23.170(C22×C4) = C42.395D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.170(C2^2xC4)128,201
C23.171(C22×C4) = C42.396D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.171(C2^2xC4)128,202
C23.172(C22×C4) = C24.(C2×C4)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.172(C2^2xC4)128,203
C23.173(C22×C4) = C24.45(C2×C4)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.173(C2^2xC4)128,204
C23.174(C22×C4) = C42.372D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.174(C2^2xC4)128,205
C23.175(C22×C4) = C24.162C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.175(C2^2xC4)128,472
C23.176(C22×C4) = C2×C22.C42φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.176(C2^2xC4)128,473
C23.177(C22×C4) = C23.15C42φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.177(C2^2xC4)128,474
C23.178(C22×C4) = C4×C4.D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.178(C2^2xC4)128,487
C23.179(C22×C4) = C4×C4.10D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.179(C2^2xC4)128,488
C23.180(C22×C4) = C25⋊C4φ: C22×C4/C23C2 ⊆ Aut C2316C2^3.180(C2^2xC4)128,513
C23.181(C22×C4) = C24.165C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.181(C2^2xC4)128,514
C23.182(C22×C4) = C25.C4φ: C22×C4/C23C2 ⊆ Aut C2316C2^3.182(C2^2xC4)128,515
C23.183(C22×C4) = C4.C22≀C2φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.183(C2^2xC4)128,516
C23.184(C22×C4) = (C23×C4).C4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.184(C2^2xC4)128,517
C23.185(C22×C4) = C24.167C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.185(C2^2xC4)128,531
C23.186(C22×C4) = C42.96D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.186(C2^2xC4)128,532
C23.187(C22×C4) = C42.97D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.187(C2^2xC4)128,533
C23.188(C22×C4) = C24.68D4φ: C22×C4/C23C2 ⊆ Aut C2316C2^3.188(C2^2xC4)128,551
C23.189(C22×C4) = C24.169C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.189(C2^2xC4)128,552
C23.190(C22×C4) = (C22×C4).275D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.190(C2^2xC4)128,553
C23.191(C22×C4) = (C22×C4).276D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.191(C2^2xC4)128,554
C23.192(C22×C4) = C24.78D4φ: C22×C4/C23C2 ⊆ Aut C2316C2^3.192(C2^2xC4)128,630
C23.193(C22×C4) = C24.174C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.193(C2^2xC4)128,631
C23.194(C22×C4) = M4(2)⋊20D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.194(C2^2xC4)128,632
C23.195(C22×C4) = M4(2).45D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.195(C2^2xC4)128,633
C23.196(C22×C4) = C24.175C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.196(C2^2xC4)128,696
C23.197(C22×C4) = M4(2)⋊12D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.197(C2^2xC4)128,697
C23.198(C22×C4) = C42.114D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.198(C2^2xC4)128,698
C23.199(C22×C4) = C42.115D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.199(C2^2xC4)128,699
C23.200(C22×C4) = C24.176C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.200(C2^2xC4)128,728
C23.201(C22×C4) = M4(2)⋊8Q8φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.201(C2^2xC4)128,729
C23.202(C22×C4) = C42.128D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.202(C2^2xC4)128,730
C23.203(C22×C4) = C4×C42⋊C2φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.203(C2^2xC4)128,1002
C23.204(C22×C4) = C23⋊C42φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.204(C2^2xC4)128,1005
C23.205(C22×C4) = C2×C243C4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.205(C2^2xC4)128,1009
C23.206(C22×C4) = C2×C23.34D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.206(C2^2xC4)128,1011
C23.207(C22×C4) = C25.85C22φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.207(C2^2xC4)128,1012
C23.208(C22×C4) = C23.165C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.208(C2^2xC4)128,1015
C23.209(C22×C4) = C23.167C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.209(C2^2xC4)128,1017
C23.210(C22×C4) = C23.192C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.210(C2^2xC4)128,1042
C23.211(C22×C4) = C23.195C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.211(C2^2xC4)128,1045
C23.212(C22×C4) = C24.545C23φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.212(C2^2xC4)128,1048
C23.213(C22×C4) = D4×C22⋊C4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.213(C2^2xC4)128,1070
C23.214(C22×C4) = Q8×C22⋊C4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.214(C2^2xC4)128,1072
C23.215(C22×C4) = C23.224C24φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.215(C2^2xC4)128,1074
C23.216(C22×C4) = C23.226C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.216(C2^2xC4)128,1076
C23.217(C22×C4) = C23.227C24φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.217(C2^2xC4)128,1077
C23.218(C22×C4) = C22×C22⋊C8φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.218(C2^2xC4)128,1608
C23.219(C22×C4) = C2×C24.4C4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.219(C2^2xC4)128,1609
C23.220(C22×C4) = C22×C4.D4φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.220(C2^2xC4)128,1617
C23.221(C22×C4) = C22×C4.10D4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.221(C2^2xC4)128,1618
C23.222(C22×C4) = C2×C4⋊M4(2)φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.222(C2^2xC4)128,1635
C23.223(C22×C4) = C2×C42.12C4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.223(C2^2xC4)128,1649
C23.224(C22×C4) = C2×C42.6C4φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.224(C2^2xC4)128,1650
C23.225(C22×C4) = C42.677C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.225(C2^2xC4)128,1652
C23.226(C22×C4) = C42.262C23φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.226(C2^2xC4)128,1656
C23.227(C22×C4) = Q8×M4(2)φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.227(C2^2xC4)128,1695
C23.228(C22×C4) = C233M4(2)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.228(C2^2xC4)128,1705
C23.229(C22×C4) = D47M4(2)φ: C22×C4/C23C2 ⊆ Aut C2332C2^3.229(C2^2xC4)128,1706
C23.230(C22×C4) = C42.695C23φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.230(C2^2xC4)128,1714
C23.231(C22×C4) = C42.302C23φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.231(C2^2xC4)128,1715
C23.232(C22×C4) = Q8.4M4(2)φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.232(C2^2xC4)128,1716
C23.233(C22×C4) = C22×C42⋊C2φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.233(C2^2xC4)128,2153
C23.234(C22×C4) = C2×C23.32C23φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.234(C2^2xC4)128,2158
C23.235(C22×C4) = C23×M4(2)φ: C22×C4/C23C2 ⊆ Aut C2364C2^3.235(C2^2xC4)128,2302
C23.236(C22×C4) = C4×C2.C42central extension (φ=1)128C2^3.236(C2^2xC4)128,164
C23.237(C22×C4) = C24.17Q8central extension (φ=1)64C2^3.237(C2^2xC4)128,165
C23.238(C22×C4) = C24.624C23central extension (φ=1)128C2^3.238(C2^2xC4)128,166
C23.239(C22×C4) = C24.625C23central extension (φ=1)128C2^3.239(C2^2xC4)128,167
C23.240(C22×C4) = C24.626C23central extension (φ=1)128C2^3.240(C2^2xC4)128,168
C23.241(C22×C4) = C232C42central extension (φ=1)64C2^3.241(C2^2xC4)128,169
C23.242(C22×C4) = C4×C8⋊C4central extension (φ=1)128C2^3.242(C2^2xC4)128,457
C23.243(C22×C4) = C2.C43central extension (φ=1)128C2^3.243(C2^2xC4)128,458
C23.244(C22×C4) = C2×C22.7C42central extension (φ=1)128C2^3.244(C2^2xC4)128,459
C23.245(C22×C4) = C23.28C42central extension (φ=1)64C2^3.245(C2^2xC4)128,460
C23.246(C22×C4) = C23.29C42central extension (φ=1)64C2^3.246(C2^2xC4)128,461
C23.247(C22×C4) = C424C8central extension (φ=1)128C2^3.247(C2^2xC4)128,476
C23.248(C22×C4) = C43.C2central extension (φ=1)128C2^3.248(C2^2xC4)128,477
C23.249(C22×C4) = (C4×C8)⋊12C4central extension (φ=1)128C2^3.249(C2^2xC4)128,478
C23.250(C22×C4) = C4×C22⋊C8central extension (φ=1)64C2^3.250(C2^2xC4)128,480
C23.251(C22×C4) = C42.378D4central extension (φ=1)64C2^3.251(C2^2xC4)128,481
C23.252(C22×C4) = C42.379D4central extension (φ=1)64C2^3.252(C2^2xC4)128,482
C23.253(C22×C4) = C8×C22⋊C4central extension (φ=1)64C2^3.253(C2^2xC4)128,483
C23.254(C22×C4) = C23.36C42central extension (φ=1)64C2^3.254(C2^2xC4)128,484
C23.255(C22×C4) = C23.17C42central extension (φ=1)64C2^3.255(C2^2xC4)128,485
C23.256(C22×C4) = C4×C4⋊C8central extension (φ=1)128C2^3.256(C2^2xC4)128,498
C23.257(C22×C4) = C43.7C2central extension (φ=1)128C2^3.257(C2^2xC4)128,499
C23.258(C22×C4) = C42.45Q8central extension (φ=1)128C2^3.258(C2^2xC4)128,500
C23.259(C22×C4) = C8×C4⋊C4central extension (φ=1)128C2^3.259(C2^2xC4)128,501
C23.260(C22×C4) = C4⋊C813C4central extension (φ=1)128C2^3.260(C2^2xC4)128,502
C23.261(C22×C4) = C4⋊C814C4central extension (φ=1)128C2^3.261(C2^2xC4)128,503
C23.262(C22×C4) = C243C8central extension (φ=1)32C2^3.262(C2^2xC4)128,511
C23.263(C22×C4) = C42.425D4central extension (φ=1)64C2^3.263(C2^2xC4)128,529
C23.264(C22×C4) = C23.32M4(2)central extension (φ=1)64C2^3.264(C2^2xC4)128,549
C23.265(C22×C4) = C428C8central extension (φ=1)128C2^3.265(C2^2xC4)128,563
C23.266(C22×C4) = C425C8central extension (φ=1)128C2^3.266(C2^2xC4)128,571
C23.267(C22×C4) = C429C8central extension (φ=1)128C2^3.267(C2^2xC4)128,574
C23.268(C22×C4) = C23.21M4(2)central extension (φ=1)64C2^3.268(C2^2xC4)128,582
C23.269(C22×C4) = C23.22M4(2)central extension (φ=1)64C2^3.269(C2^2xC4)128,601
C23.270(C22×C4) = C4⋊C43C8central extension (φ=1)128C2^3.270(C2^2xC4)128,648
C23.271(C22×C4) = C22⋊C44C8central extension (φ=1)64C2^3.271(C2^2xC4)128,655
C23.272(C22×C4) = C42.61Q8central extension (φ=1)128C2^3.272(C2^2xC4)128,671
C23.273(C22×C4) = C42.325D4central extension (φ=1)64C2^3.273(C2^2xC4)128,686
C23.274(C22×C4) = C42.327D4central extension (φ=1)128C2^3.274(C2^2xC4)128,716
C23.275(C22×C4) = C22×C2.C42central extension (φ=1)128C2^3.275(C2^2xC4)128,998
C23.276(C22×C4) = C2×C424C4central extension (φ=1)128C2^3.276(C2^2xC4)128,999
C23.277(C22×C4) = C2×C4×C22⋊C4central extension (φ=1)64C2^3.277(C2^2xC4)128,1000
C23.278(C22×C4) = C2×C4×C4⋊C4central extension (φ=1)128C2^3.278(C2^2xC4)128,1001
C23.279(C22×C4) = C2×C23.7Q8central extension (φ=1)64C2^3.279(C2^2xC4)128,1010
C23.280(C22×C4) = C2×C428C4central extension (φ=1)128C2^3.280(C2^2xC4)128,1013
C23.281(C22×C4) = C2×C425C4central extension (φ=1)128C2^3.281(C2^2xC4)128,1014
C23.282(C22×C4) = C2×C429C4central extension (φ=1)128C2^3.282(C2^2xC4)128,1016
C23.283(C22×C4) = C2×C23.63C23central extension (φ=1)128C2^3.283(C2^2xC4)128,1020
C23.284(C22×C4) = C2×C23.65C23central extension (φ=1)128C2^3.284(C2^2xC4)128,1023
C23.285(C22×C4) = C2×C23.67C23central extension (φ=1)128C2^3.285(C2^2xC4)128,1026
C23.286(C22×C4) = C22×C8⋊C4central extension (φ=1)128C2^3.286(C2^2xC4)128,1602
C23.287(C22×C4) = C2×C4×M4(2)central extension (φ=1)64C2^3.287(C2^2xC4)128,1603
C23.288(C22×C4) = C2×C82M4(2)central extension (φ=1)64C2^3.288(C2^2xC4)128,1604
C23.289(C22×C4) = C2×(C22×C8)⋊C2central extension (φ=1)64C2^3.289(C2^2xC4)128,1610
C23.290(C22×C4) = C22×C4⋊C8central extension (φ=1)128C2^3.290(C2^2xC4)128,1634
C23.291(C22×C4) = C2×C42.6C22central extension (φ=1)64C2^3.291(C2^2xC4)128,1636
C23.292(C22×C4) = C2×C42.7C22central extension (φ=1)64C2^3.292(C2^2xC4)128,1651
C23.293(C22×C4) = Q8×C2×C8central extension (φ=1)128C2^3.293(C2^2xC4)128,1690
C23.294(C22×C4) = C2×C84Q8central extension (φ=1)128C2^3.294(C2^2xC4)128,1691
C23.295(C22×C4) = C23×C4⋊C4central extension (φ=1)128C2^3.295(C2^2xC4)128,2152
C23.296(C22×C4) = Q8×C22×C4central extension (φ=1)128C2^3.296(C2^2xC4)128,2155
C23.297(C22×C4) = C24.50D4central stem extension (φ=1)64C2^3.297(C2^2xC4)128,170
C23.298(C22×C4) = C24.5Q8central stem extension (φ=1)64C2^3.298(C2^2xC4)128,171
C23.299(C22×C4) = C24.52D4central stem extension (φ=1)64C2^3.299(C2^2xC4)128,172
C23.300(C22×C4) = C24.631C23central stem extension (φ=1)128C2^3.300(C2^2xC4)128,173
C23.301(C22×C4) = C24.632C23central stem extension (φ=1)128C2^3.301(C2^2xC4)128,174
C23.302(C22×C4) = C24.633C23central stem extension (φ=1)128C2^3.302(C2^2xC4)128,175
C23.303(C22×C4) = C24.634C23central stem extension (φ=1)128C2^3.303(C2^2xC4)128,176
C23.304(C22×C4) = C24.635C23central stem extension (φ=1)128C2^3.304(C2^2xC4)128,177
C23.305(C22×C4) = C24.636C23central stem extension (φ=1)128C2^3.305(C2^2xC4)128,178
C23.306(C22×C4) = C24.51(C2×C4)central stem extension (φ=1)64C2^3.306(C2^2xC4)128,512
C23.307(C22×C4) = C42.95D4central stem extension (φ=1)64C2^3.307(C2^2xC4)128,530
C23.308(C22×C4) = C24.53(C2×C4)central stem extension (φ=1)64C2^3.308(C2^2xC4)128,550
C23.309(C22×C4) = C42.23Q8central stem extension (φ=1)128C2^3.309(C2^2xC4)128,564
C23.310(C22×C4) = C424C4.C2central stem extension (φ=1)128C2^3.310(C2^2xC4)128,572
C23.311(C22×C4) = C42.25Q8central stem extension (φ=1)128C2^3.311(C2^2xC4)128,575
C23.312(C22×C4) = (C2×C8).195D4central stem extension (φ=1)64C2^3.312(C2^2xC4)128,583
C23.313(C22×C4) = C232M4(2)central stem extension (φ=1)64C2^3.313(C2^2xC4)128,602
C23.314(C22×C4) = (C2×C8).Q8central stem extension (φ=1)128C2^3.314(C2^2xC4)128,649
C23.315(C22×C4) = C23.9M4(2)central stem extension (φ=1)64C2^3.315(C2^2xC4)128,656
C23.316(C22×C4) = C42.27Q8central stem extension (φ=1)128C2^3.316(C2^2xC4)128,672
C23.317(C22×C4) = C42.109D4central stem extension (φ=1)64C2^3.317(C2^2xC4)128,687
C23.318(C22×C4) = C42.120D4central stem extension (φ=1)128C2^3.318(C2^2xC4)128,717

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