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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4×D4

Direct product G=N×Q with N=C2 and Q=C2×C4×D4
dρLabelID
D4×C22×C464D4xC2^2xC4128,2154


Non-split extensions G=N.Q with N=C2 and Q=C2×C4×D4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4×D4) = C2×C4×C22⋊C4central extension (φ=1)64C2.1(C2xC4xD4)128,1000
C2.2(C2×C4×D4) = C2×C4×C4⋊C4central extension (φ=1)128C2.2(C2xC4xD4)128,1001
C2.3(C2×C4×D4) = D4×C42central extension (φ=1)64C2.3(C2xC4xD4)128,1003
C2.4(C2×C4×D4) = D4×C2×C8central extension (φ=1)64C2.4(C2xC4xD4)128,1658
C2.5(C2×C4×D4) = C2×C23.8Q8central stem extension (φ=1)64C2.5(C2xC4xD4)128,1018
C2.6(C2×C4×D4) = C2×C23.23D4central stem extension (φ=1)64C2.6(C2xC4xD4)128,1019
C2.7(C2×C4×D4) = C2×C23.63C23central stem extension (φ=1)128C2.7(C2xC4xD4)128,1020
C2.8(C2×C4×D4) = C2×C24.C22central stem extension (φ=1)64C2.8(C2xC4xD4)128,1021
C2.9(C2×C4×D4) = C42⋊42D4central stem extension (φ=1)64C2.9(C2xC4xD4)128,1022
C2.10(C2×C4×D4) = C2×C23.65C23central stem extension (φ=1)128C2.10(C2xC4xD4)128,1023
C2.11(C2×C4×D4) = C2×C24.3C22central stem extension (φ=1)64C2.11(C2xC4xD4)128,1024
C2.12(C2×C4×D4) = C43⋊9C2central stem extension (φ=1)64C2.12(C2xC4xD4)128,1025
C2.13(C2×C4×D4) = C4×C22≀C2central stem extension (φ=1)32C2.13(C2xC4xD4)128,1031
C2.14(C2×C4×D4) = C4×C4⋊D4central stem extension (φ=1)64C2.14(C2xC4xD4)128,1032
C2.15(C2×C4×D4) = C4×C22.D4central stem extension (φ=1)64C2.15(C2xC4xD4)128,1033
C2.16(C2×C4×D4) = C4×C22⋊Q8central stem extension (φ=1)64C2.16(C2xC4xD4)128,1034
C2.17(C2×C4×D4) = C4×C4.4D4central stem extension (φ=1)64C2.17(C2xC4xD4)128,1035
C2.18(C2×C4×D4) = C4×C4⋊1D4central stem extension (φ=1)64C2.18(C2xC4xD4)128,1038
C2.19(C2×C4×D4) = C4×C4⋊Q8central stem extension (φ=1)128C2.19(C2xC4xD4)128,1039
C2.20(C2×C4×D4) = C23.203C24central stem extension (φ=1)32C2.20(C2xC4xD4)128,1053
C2.21(C2×C4×D4) = C24.195C23central stem extension (φ=1)64C2.21(C2xC4xD4)128,1054
C2.22(C2×C4×D4) = C42.159D4central stem extension (φ=1)64C2.22(C2xC4xD4)128,1055
C2.23(C2×C4×D4) = C42⋊13D4central stem extension (φ=1)64C2.23(C2xC4xD4)128,1056
C2.24(C2×C4×D4) = C24.198C23central stem extension (φ=1)64C2.24(C2xC4xD4)128,1057
C2.25(C2×C4×D4) = C42.160D4central stem extension (φ=1)64C2.25(C2xC4xD4)128,1058
C2.26(C2×C4×D4) = C42.161D4central stem extension (φ=1)128C2.26(C2xC4xD4)128,1059
C2.27(C2×C4×D4) = C42⋊14D4central stem extension (φ=1)64C2.27(C2xC4xD4)128,1060
C2.28(C2×C4×D4) = D4×C22⋊C4central stem extension (φ=1)32C2.28(C2xC4xD4)128,1070
C2.29(C2×C4×D4) = C23.224C24central stem extension (φ=1)32C2.29(C2xC4xD4)128,1074
C2.30(C2×C4×D4) = C23.226C24central stem extension (φ=1)64C2.30(C2xC4xD4)128,1076
C2.31(C2×C4×D4) = D4×C4⋊C4central stem extension (φ=1)64C2.31(C2xC4xD4)128,1080
C2.32(C2×C4×D4) = C23.234C24central stem extension (φ=1)64C2.32(C2xC4xD4)128,1084
C2.33(C2×C4×D4) = C23.236C24central stem extension (φ=1)64C2.33(C2xC4xD4)128,1086
C2.34(C2×C4×D4) = C23.240C24central stem extension (φ=1)32C2.34(C2xC4xD4)128,1090
C2.35(C2×C4×D4) = C23.241C24central stem extension (φ=1)64C2.35(C2xC4xD4)128,1091
C2.36(C2×C4×D4) = C24.558C23central stem extension (φ=1)64C2.36(C2xC4xD4)128,1092
C2.37(C2×C4×D4) = C24.215C23central stem extension (φ=1)64C2.37(C2xC4xD4)128,1093
C2.38(C2×C4×D4) = C23.244C24central stem extension (φ=1)64C2.38(C2xC4xD4)128,1094
C2.39(C2×C4×D4) = C24.217C23central stem extension (φ=1)64C2.39(C2xC4xD4)128,1095
C2.40(C2×C4×D4) = C24.218C23central stem extension (φ=1)64C2.40(C2xC4xD4)128,1096
C2.41(C2×C4×D4) = C23.247C24central stem extension (φ=1)128C2.41(C2xC4xD4)128,1097
C2.42(C2×C4×D4) = C24.219C23central stem extension (φ=1)64C2.42(C2xC4xD4)128,1098
C2.43(C2×C4×D4) = C24.220C23central stem extension (φ=1)64C2.43(C2xC4xD4)128,1099
C2.44(C2×C4×D4) = C2×C8⋊9D4central stem extension (φ=1)64C2.44(C2xC4xD4)128,1659
C2.45(C2×C4×D4) = C2×C8⋊6D4central stem extension (φ=1)64C2.45(C2xC4xD4)128,1660
C2.46(C2×C4×D4) = C42.264C23central stem extension (φ=1)32C2.46(C2xC4xD4)128,1661
C2.47(C2×C4×D4) = C42.265C23central stem extension (φ=1)32C2.47(C2xC4xD4)128,1662
C2.48(C2×C4×D4) = C42.681C23central stem extension (φ=1)64C2.48(C2xC4xD4)128,1663
C2.49(C2×C4×D4) = C42.266C23central stem extension (φ=1)64C2.49(C2xC4xD4)128,1664
C2.50(C2×C4×D4) = M4(2)⋊22D4central stem extension (φ=1)32C2.50(C2xC4xD4)128,1665
C2.51(C2×C4×D4) = D4×M4(2)central stem extension (φ=1)32C2.51(C2xC4xD4)128,1666
C2.52(C2×C4×D4) = M4(2)⋊23D4central stem extension (φ=1)64C2.52(C2xC4xD4)128,1667
C2.53(C2×C4×D4) = C2×C4×D8central stem extension (φ=1)64C2.53(C2xC4xD4)128,1668
C2.54(C2×C4×D4) = C2×C4×SD16central stem extension (φ=1)64C2.54(C2xC4xD4)128,1669
C2.55(C2×C4×D4) = C2×C4×Q16central stem extension (φ=1)128C2.55(C2xC4xD4)128,1670
C2.56(C2×C4×D4) = C4×C4○D8central stem extension (φ=1)64C2.56(C2xC4xD4)128,1671
C2.57(C2×C4×D4) = C2×SD16⋊C4central stem extension (φ=1)64C2.57(C2xC4xD4)128,1672
C2.58(C2×C4×D4) = C2×Q16⋊C4central stem extension (φ=1)128C2.58(C2xC4xD4)128,1673
C2.59(C2×C4×D4) = C2×D8⋊C4central stem extension (φ=1)64C2.59(C2xC4xD4)128,1674
C2.60(C2×C4×D4) = C42.383D4central stem extension (φ=1)64C2.60(C2xC4xD4)128,1675
C2.61(C2×C4×D4) = C4×C8⋊C22central stem extension (φ=1)32C2.61(C2xC4xD4)128,1676
C2.62(C2×C4×D4) = C4×C8.C22central stem extension (φ=1)64C2.62(C2xC4xD4)128,1677
C2.63(C2×C4×D4) = C42.275C23central stem extension (φ=1)32C2.63(C2xC4xD4)128,1678
C2.64(C2×C4×D4) = C42.276C23central stem extension (φ=1)64C2.64(C2xC4xD4)128,1679
C2.65(C2×C4×D4) = C42.277C23central stem extension (φ=1)32C2.65(C2xC4xD4)128,1680
C2.66(C2×C4×D4) = C42.278C23central stem extension (φ=1)32C2.66(C2xC4xD4)128,1681
C2.67(C2×C4×D4) = C42.279C23central stem extension (φ=1)64C2.67(C2xC4xD4)128,1682
C2.68(C2×C4×D4) = C42.280C23central stem extension (φ=1)64C2.68(C2xC4xD4)128,1683
C2.69(C2×C4×D4) = C42.281C23central stem extension (φ=1)64C2.69(C2xC4xD4)128,1684
C2.70(C2×C4×D4) = C2×C8○D8central stem extension (φ=1)32C2.70(C2xC4xD4)128,1685
C2.71(C2×C4×D4) = C2×C8.26D4central stem extension (φ=1)32C2.71(C2xC4xD4)128,1686
C2.72(C2×C4×D4) = C42.283C23central stem extension (φ=1)324C2.72(C2xC4xD4)128,1687
C2.73(C2×C4×D4) = M4(2).51D4central stem extension (φ=1)164C2.73(C2xC4xD4)128,1688
C2.74(C2×C4×D4) = M4(2)○D8central stem extension (φ=1)324C2.74(C2xC4xD4)128,1689

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