Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C2×C4

Direct product G=N×Q with N=C22⋊C4 and Q=C2×C4
dρLabelID
C2×C4×C22⋊C464C2xC4xC2^2:C4128,1000

Semidirect products G=N:Q with N=C22⋊C4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C22⋊C41(C2×C4) = C2×C2≀C4φ: C2×C4/C2C4 ⊆ Out C22⋊C416C2^2:C4:1(C2xC4)128,850
C22⋊C42(C2×C4) = C2×C23.D4φ: C2×C4/C2C4 ⊆ Out C22⋊C432C2^2:C4:2(C2xC4)128,851
C22⋊C43(C2×C4) = C24.36D4φ: C2×C4/C2C4 ⊆ Out C22⋊C4168+C2^2:C4:3(C2xC4)128,853
C22⋊C44(C2×C4) = C24.22D4φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4:4(C2xC4)128,599
C22⋊C45(C2×C4) = C25.C22φ: C2×C4/C2C22 ⊆ Out C22⋊C416C2^2:C4:5(C2xC4)128,621
C22⋊C46(C2×C4) = C24.26D4φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4:6(C2xC4)128,622
C22⋊C47(C2×C4) = C24.28D4φ: C2×C4/C2C22 ⊆ Out C22⋊C4168+C2^2:C4:7(C2xC4)128,645
C22⋊C48(C2×C4) = C23.203C24φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4:8(C2xC4)128,1053
C22⋊C49(C2×C4) = C24.195C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:9(C2xC4)128,1054
C22⋊C410(C2×C4) = C4213D4φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:10(C2xC4)128,1056
C22⋊C411(C2×C4) = C24.198C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:11(C2xC4)128,1057
C22⋊C412(C2×C4) = C42.160D4φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:12(C2xC4)128,1058
C22⋊C413(C2×C4) = C24.204C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:13(C2xC4)128,1067
C22⋊C414(C2×C4) = C24.205C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:14(C2xC4)128,1069
C22⋊C415(C2×C4) = C23.241C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:15(C2xC4)128,1091
C22⋊C416(C2×C4) = C24.215C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:16(C2xC4)128,1093
C22⋊C417(C2×C4) = C24.220C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:17(C2xC4)128,1099
C22⋊C418(C2×C4) = C24.223C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:18(C2xC4)128,1106
C22⋊C419(C2×C4) = C23.257C24φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4:19(C2xC4)128,1107
C22⋊C420(C2×C4) = C24.225C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:20(C2xC4)128,1108
C22⋊C421(C2×C4) = C23.259C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:21(C2xC4)128,1109
C22⋊C422(C2×C4) = C23.261C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4:22(C2xC4)128,1111
C22⋊C423(C2×C4) = C4×C23⋊C4φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4:23(C2xC4)128,486
C22⋊C424(C2×C4) = C4×C22≀C2φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4:24(C2xC4)128,1031
C22⋊C425(C2×C4) = C4×C4⋊D4φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:25(C2xC4)128,1032
C22⋊C426(C2×C4) = C4×C22.D4φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:26(C2xC4)128,1033
C22⋊C427(C2×C4) = C4×C4.4D4φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:27(C2xC4)128,1035
C22⋊C428(C2×C4) = C23.215C24φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:28(C2xC4)128,1065
C22⋊C429(C2×C4) = C23.240C24φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4:29(C2xC4)128,1090
C22⋊C430(C2×C4) = C24.217C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:30(C2xC4)128,1095
C22⋊C431(C2×C4) = C24.218C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:31(C2xC4)128,1096
C22⋊C432(C2×C4) = C24.221C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4:32(C2xC4)128,1104
C22⋊C433(C2×C4) = C2×C23.9D4φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4:33(C2xC4)128,471
C22⋊C434(C2×C4) = C2×C23.8Q8φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:34(C2xC4)128,1018
C22⋊C435(C2×C4) = C2×C24.C22φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:35(C2xC4)128,1021
C22⋊C436(C2×C4) = C4242D4φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:36(C2xC4)128,1022
C22⋊C437(C2×C4) = C24.91D4φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4:37(C2xC4)128,1047
C22⋊C438(C2×C4) = C24.547C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:38(C2xC4)128,1050
C22⋊C439(C2×C4) = C23.224C24φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4:39(C2xC4)128,1074
C22⋊C440(C2×C4) = D4×C4⋊C4φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:40(C2xC4)128,1080
C22⋊C441(C2×C4) = C23.231C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:41(C2xC4)128,1081
C22⋊C442(C2×C4) = C23.234C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:42(C2xC4)128,1084
C22⋊C443(C2×C4) = C23.235C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4:43(C2xC4)128,1085
C22⋊C444(C2×C4) = D4×C42φ: trivial image64C2^2:C4:44(C2xC4)128,1003
C22⋊C445(C2×C4) = C23⋊C42φ: trivial image32C2^2:C4:45(C2xC4)128,1005
C22⋊C446(C2×C4) = D44C42φ: trivial image64C2^2:C4:46(C2xC4)128,1007

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C22⋊C4.1(C2×C4) = C4○C2≀C4φ: C2×C4/C2C4 ⊆ Out C22⋊C4164C2^2:C4.1(C2xC4)128,852
C22⋊C4.2(C2×C4) = C2≀C4⋊C2φ: C2×C4/C2C4 ⊆ Out C22⋊C4168+C2^2:C4.2(C2xC4)128,854
C22⋊C4.3(C2×C4) = C23.(C2×D4)φ: C2×C4/C2C4 ⊆ Out C22⋊C4328-C2^2:C4.3(C2xC4)128,855
C22⋊C4.4(C2×C4) = (C2×D4).Q8φ: C2×C4/C2C22 ⊆ Out C22⋊C4324C2^2:C4.4(C2xC4)128,600
C22⋊C4.5(C2×C4) = (C2×C8)⋊D4φ: C2×C4/C2C22 ⊆ Out C22⋊C4164C2^2:C4.5(C2xC4)128,623
C22⋊C4.6(C2×C4) = M4(2)⋊21D4φ: C2×C4/C2C22 ⊆ Out C22⋊C4168+C2^2:C4.6(C2xC4)128,646
C22⋊C4.7(C2×C4) = M4(2).50D4φ: C2×C4/C2C22 ⊆ Out C22⋊C4328-C2^2:C4.7(C2xC4)128,647
C22⋊C4.8(C2×C4) = C42.159D4φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.8(C2xC4)128,1055
C22⋊C4.9(C2×C4) = C23.214C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.9(C2xC4)128,1064
C22⋊C4.10(C2×C4) = C24.203C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.10(C2xC4)128,1066
C22⋊C4.11(C2×C4) = C23.244C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.11(C2xC4)128,1094
C22⋊C4.12(C2×C4) = C23.255C24φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.12(C2xC4)128,1105
C22⋊C4.13(C2×C4) = C24.227C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.13(C2xC4)128,1110
C22⋊C4.14(C2×C4) = C24.230C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.14(C2xC4)128,1115
C22⋊C4.15(C2×C4) = C42.265C23φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4.15(C2xC4)128,1662
C22⋊C4.16(C2×C4) = C42.266C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.16(C2xC4)128,1664
C22⋊C4.17(C2×C4) = C42.292C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.17(C2xC4)128,1699
C22⋊C4.18(C2×C4) = C42.294C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.18(C2xC4)128,1701
C22⋊C4.19(C2×C4) = C42.297C23φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4.19(C2xC4)128,1708
C22⋊C4.20(C2×C4) = C42.299C23φ: C2×C4/C2C22 ⊆ Out C22⋊C432C2^2:C4.20(C2xC4)128,1710
C22⋊C4.21(C2×C4) = C42.300C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.21(C2xC4)128,1712
C22⋊C4.22(C2×C4) = C42.301C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.22(C2xC4)128,1713
C22⋊C4.23(C2×C4) = C42.696C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.23(C2xC4)128,1717
C22⋊C4.24(C2×C4) = C42.304C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.24(C2xC4)128,1718
C22⋊C4.25(C2×C4) = C42.305C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.25(C2xC4)128,1719
C22⋊C4.26(C2×C4) = C42.308C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.26(C2xC4)128,1725
C22⋊C4.27(C2×C4) = C42.310C23φ: C2×C4/C2C22 ⊆ Out C22⋊C464C2^2:C4.27(C2xC4)128,1727
C22⋊C4.28(C2×C4) = C23.5C42φ: C2×C4/C4C2 ⊆ Out C22⋊C4324C2^2:C4.28(C2xC4)128,489
C22⋊C4.29(C2×C4) = C4×C22⋊Q8φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.29(C2xC4)128,1034
C22⋊C4.30(C2×C4) = C4×C422C2φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.30(C2xC4)128,1036
C22⋊C4.31(C2×C4) = C23.211C24φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.31(C2xC4)128,1061
C22⋊C4.32(C2×C4) = C24.558C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.32(C2xC4)128,1092
C22⋊C4.33(C2×C4) = C23.250C24φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.33(C2xC4)128,1100
C22⋊C4.34(C2×C4) = C42.264C23φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4.34(C2xC4)128,1661
C22⋊C4.35(C2×C4) = C42.681C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.35(C2xC4)128,1663
C22⋊C4.36(C2×C4) = M4(2)⋊22D4φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4.36(C2xC4)128,1665
C22⋊C4.37(C2×C4) = M4(2)⋊23D4φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.37(C2xC4)128,1667
C22⋊C4.38(C2×C4) = C42.286C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.38(C2xC4)128,1692
C22⋊C4.39(C2×C4) = C42.287C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.39(C2xC4)128,1693
C22⋊C4.40(C2×C4) = M4(2)⋊9Q8φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.40(C2xC4)128,1694
C22⋊C4.41(C2×C4) = C42.291C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.41(C2xC4)128,1698
C22⋊C4.42(C2×C4) = C42.293C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.42(C2xC4)128,1700
C22⋊C4.43(C2×C4) = C42.298C23φ: C2×C4/C4C2 ⊆ Out C22⋊C432C2^2:C4.43(C2xC4)128,1709
C22⋊C4.44(C2×C4) = C42.694C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.44(C2xC4)128,1711
C22⋊C4.45(C2×C4) = C42.307C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.45(C2xC4)128,1724
C22⋊C4.46(C2×C4) = C42.309C23φ: C2×C4/C4C2 ⊆ Out C22⋊C464C2^2:C4.46(C2xC4)128,1726
C22⋊C4.47(C2×C4) = C24.162C23φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.47(C2xC4)128,472
C22⋊C4.48(C2×C4) = C2×M4(2)⋊4C4φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.48(C2xC4)128,475
C22⋊C4.49(C2×C4) = C24.C23φ: C2×C4/C22C2 ⊆ Out C22⋊C4168+C2^2:C4.49(C2xC4)128,560
C22⋊C4.50(C2×C4) = C24.6(C2×C4)φ: C2×C4/C22C2 ⊆ Out C22⋊C4168+C2^2:C4.50(C2xC4)128,561
C22⋊C4.51(C2×C4) = (C2×Q8).211D4φ: C2×C4/C22C2 ⊆ Out C22⋊C4328-C2^2:C4.51(C2xC4)128,562
C22⋊C4.52(C2×C4) = C439C2φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.52(C2xC4)128,1025
C22⋊C4.53(C2×C4) = C23.178C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.53(C2xC4)128,1028
C22⋊C4.54(C2×C4) = C432C2φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.54(C2xC4)128,1030
C22⋊C4.55(C2×C4) = C23.194C24φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.55(C2xC4)128,1044
C22⋊C4.56(C2×C4) = C24.192C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.56(C2xC4)128,1046
C22⋊C4.57(C2×C4) = C23.199C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.57(C2xC4)128,1049
C22⋊C4.58(C2×C4) = C23.201C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.58(C2xC4)128,1051
C22⋊C4.59(C2×C4) = C24.208C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.59(C2xC4)128,1078
C22⋊C4.60(C2×C4) = C23.229C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.60(C2xC4)128,1079
C22⋊C4.61(C2×C4) = C23.236C24φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.61(C2xC4)128,1086
C22⋊C4.62(C2×C4) = C24.212C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.62(C2xC4)128,1089
C22⋊C4.63(C2×C4) = C2×C42.6C22φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.63(C2xC4)128,1636
C22⋊C4.64(C2×C4) = C42.257C23φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.64(C2xC4)128,1637
C22⋊C4.65(C2×C4) = C42.674C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.65(C2xC4)128,1638
C22⋊C4.66(C2×C4) = C2×C42.7C22φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.66(C2xC4)128,1651
C22⋊C4.67(C2×C4) = C42.259C23φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.67(C2xC4)128,1653
C22⋊C4.68(C2×C4) = C42.260C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.68(C2xC4)128,1654
C22⋊C4.69(C2×C4) = C42.261C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.69(C2xC4)128,1655
C22⋊C4.70(C2×C4) = C42.678C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.70(C2xC4)128,1657
C22⋊C4.71(C2×C4) = C2×C89D4φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.71(C2xC4)128,1659
C22⋊C4.72(C2×C4) = C2×C86D4φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.72(C2xC4)128,1660
C22⋊C4.73(C2×C4) = D4×M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.73(C2xC4)128,1666
C22⋊C4.74(C2×C4) = C42.290C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.74(C2xC4)128,1697
C22⋊C4.75(C2×C4) = Q86M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.75(C2xC4)128,1703
C22⋊C4.76(C2×C4) = C233M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.76(C2xC4)128,1705
C22⋊C4.77(C2×C4) = D47M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.77(C2xC4)128,1706
C22⋊C4.78(C2×C4) = C42.693C23φ: C2×C4/C22C2 ⊆ Out C22⋊C432C2^2:C4.78(C2xC4)128,1707
C22⋊C4.79(C2×C4) = C42.698C23φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.79(C2xC4)128,1721
C22⋊C4.80(C2×C4) = D48M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.80(C2xC4)128,1722
C22⋊C4.81(C2×C4) = Q87M4(2)φ: C2×C4/C22C2 ⊆ Out C22⋊C464C2^2:C4.81(C2xC4)128,1723
C22⋊C4.82(C2×C4) = C4×C42⋊C2φ: trivial image64C2^2:C4.82(C2xC4)128,1002
C22⋊C4.83(C2×C4) = C24.524C23φ: trivial image64C2^2:C4.83(C2xC4)128,1006
C22⋊C4.84(C2×C4) = C23.225C24φ: trivial image64C2^2:C4.84(C2xC4)128,1075
C22⋊C4.85(C2×C4) = C2×C82M4(2)φ: trivial image64C2^2:C4.85(C2xC4)128,1604
C22⋊C4.86(C2×C4) = M4(2)○2M4(2)φ: trivial image32C2^2:C4.86(C2xC4)128,1605
C22⋊C4.87(C2×C4) = C4×C8○D4φ: trivial image64C2^2:C4.87(C2xC4)128,1606
C22⋊C4.88(C2×C4) = D4.5C42φ: trivial image64C2^2:C4.88(C2xC4)128,1607
C22⋊C4.89(C2×C4) = C42.262C23φ: trivial image32C2^2:C4.89(C2xC4)128,1656
C22⋊C4.90(C2×C4) = D4×C2×C8φ: trivial image64C2^2:C4.90(C2xC4)128,1658
C22⋊C4.91(C2×C4) = C8×C4○D4φ: trivial image64C2^2:C4.91(C2xC4)128,1696
C22⋊C4.92(C2×C4) = D46M4(2)φ: trivial image64C2^2:C4.92(C2xC4)128,1702
C22⋊C4.93(C2×C4) = C42.691C23φ: trivial image32C2^2:C4.93(C2xC4)128,1704
C22⋊C4.94(C2×C4) = C42.697C23φ: trivial image64C2^2:C4.94(C2xC4)128,1720

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