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

Direct product G=N×Q with N=C2 and Q=C22×C4⋊C4
dρLabelID
C23×C4⋊C4128C2^3xC4:C4128,2152


Non-split extensions G=N.Q with N=C2 and Q=C22×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(C22×C4⋊C4) = C22×C2.C42central extension (φ=1)128C2.1(C2^2xC4:C4)128,998
C2.2(C22×C4⋊C4) = C2×C4×C4⋊C4central extension (φ=1)128C2.2(C2^2xC4:C4)128,1001
C2.3(C22×C4⋊C4) = C22×C4⋊C8central extension (φ=1)128C2.3(C2^2xC4:C4)128,1634
C2.4(C22×C4⋊C4) = C2×C23.7Q8central stem extension (φ=1)64C2.4(C2^2xC4:C4)128,1010
C2.5(C22×C4⋊C4) = C2×C428C4central stem extension (φ=1)128C2.5(C2^2xC4:C4)128,1013
C2.6(C22×C4⋊C4) = C2×C429C4central stem extension (φ=1)128C2.6(C2^2xC4:C4)128,1016
C2.7(C22×C4⋊C4) = C23.167C24central stem extension (φ=1)64C2.7(C2^2xC4:C4)128,1017
C2.8(C22×C4⋊C4) = C2×C23.8Q8central stem extension (φ=1)64C2.8(C2^2xC4:C4)128,1018
C2.9(C22×C4⋊C4) = C2×C23.65C23central stem extension (φ=1)128C2.9(C2^2xC4:C4)128,1023
C2.10(C22×C4⋊C4) = C23.178C24central stem extension (φ=1)64C2.10(C2^2xC4:C4)128,1028
C2.11(C22×C4⋊C4) = C24.91D4central stem extension (φ=1)32C2.11(C2^2xC4:C4)128,1047
C2.12(C22×C4⋊C4) = C24.545C23central stem extension (φ=1)64C2.12(C2^2xC4:C4)128,1048
C2.13(C22×C4⋊C4) = C23.199C24central stem extension (φ=1)64C2.13(C2^2xC4:C4)128,1049
C2.14(C22×C4⋊C4) = D4×C4⋊C4central stem extension (φ=1)64C2.14(C2^2xC4:C4)128,1080
C2.15(C22×C4⋊C4) = C23.231C24central stem extension (φ=1)64C2.15(C2^2xC4:C4)128,1081
C2.16(C22×C4⋊C4) = Q8×C4⋊C4central stem extension (φ=1)128C2.16(C2^2xC4:C4)128,1082
C2.17(C22×C4⋊C4) = C23.233C24central stem extension (φ=1)128C2.17(C2^2xC4:C4)128,1083
C2.18(C22×C4⋊C4) = C2×C4⋊M4(2)central stem extension (φ=1)64C2.18(C2^2xC4:C4)128,1635
C2.19(C22×C4⋊C4) = C2×C42.6C22central stem extension (φ=1)64C2.19(C2^2xC4:C4)128,1636
C2.20(C22×C4⋊C4) = C42.257C23central stem extension (φ=1)32C2.20(C2^2xC4:C4)128,1637
C2.21(C22×C4⋊C4) = C42.674C23central stem extension (φ=1)64C2.21(C2^2xC4:C4)128,1638
C2.22(C22×C4⋊C4) = C22×C4.Q8central stem extension (φ=1)128C2.22(C2^2xC4:C4)128,1639
C2.23(C22×C4⋊C4) = C22×C2.D8central stem extension (φ=1)128C2.23(C2^2xC4:C4)128,1640
C2.24(C22×C4⋊C4) = C2×C23.25D4central stem extension (φ=1)64C2.24(C2^2xC4:C4)128,1641
C2.25(C22×C4⋊C4) = C2×M4(2)⋊C4central stem extension (φ=1)64C2.25(C2^2xC4:C4)128,1642
C2.26(C22×C4⋊C4) = C24.100D4central stem extension (φ=1)32C2.26(C2^2xC4:C4)128,1643
C2.27(C22×C4⋊C4) = C4○D4.7Q8central stem extension (φ=1)64C2.27(C2^2xC4:C4)128,1644
C2.28(C22×C4⋊C4) = C4○D4.8Q8central stem extension (φ=1)64C2.28(C2^2xC4:C4)128,1645
C2.29(C22×C4⋊C4) = C22×C8.C4central stem extension (φ=1)64C2.29(C2^2xC4:C4)128,1646
C2.30(C22×C4⋊C4) = C2×M4(2).C4central stem extension (φ=1)32C2.30(C2^2xC4:C4)128,1647
C2.31(C22×C4⋊C4) = M4(2).29C23central stem extension (φ=1)324C2.31(C2^2xC4:C4)128,1648

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