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

Direct product G=N×Q with N=C2 and Q=C2×C22⋊C4
dρLabelID
C22×C22⋊C432C2^2xC2^2:C464,193


Non-split extensions G=N.Q with N=C2 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C22⋊C4) = C2×C2.C42central extension (φ=1)64C2.1(C2xC2^2:C4)64,56
C2.2(C2×C22⋊C4) = C4×C22⋊C4central extension (φ=1)32C2.2(C2xC2^2:C4)64,58
C2.3(C2×C22⋊C4) = C2×C22⋊C8central extension (φ=1)32C2.3(C2xC2^2:C4)64,87
C2.4(C2×C22⋊C4) = C24⋊3C4central stem extension (φ=1)16C2.4(C2xC2^2:C4)64,60
C2.5(C2×C22⋊C4) = C23.7Q8central stem extension (φ=1)32C2.5(C2xC2^2:C4)64,61
C2.6(C2×C22⋊C4) = C23.34D4central stem extension (φ=1)32C2.6(C2xC2^2:C4)64,62
C2.7(C2×C22⋊C4) = C23.23D4central stem extension (φ=1)32C2.7(C2xC2^2:C4)64,67
C2.8(C2×C22⋊C4) = C24.3C22central stem extension (φ=1)32C2.8(C2xC2^2:C4)64,71
C2.9(C2×C22⋊C4) = C23.67C23central stem extension (φ=1)64C2.9(C2xC2^2:C4)64,72
C2.10(C2×C22⋊C4) = C24.4C4central stem extension (φ=1)16C2.10(C2xC2^2:C4)64,88
C2.11(C2×C22⋊C4) = (C22×C8)⋊C2central stem extension (φ=1)32C2.11(C2xC2^2:C4)64,89
C2.12(C2×C22⋊C4) = C2×C23⋊C4central stem extension (φ=1)16C2.12(C2xC2^2:C4)64,90
C2.13(C2×C22⋊C4) = C23.C23central stem extension (φ=1)164C2.13(C2xC2^2:C4)64,91
C2.14(C2×C22⋊C4) = C2×C4.D4central stem extension (φ=1)16C2.14(C2xC2^2:C4)64,92
C2.15(C2×C22⋊C4) = C2×C4.10D4central stem extension (φ=1)32C2.15(C2xC2^2:C4)64,93
C2.16(C2×C22⋊C4) = M4(2).8C22central stem extension (φ=1)164C2.16(C2xC2^2:C4)64,94
C2.17(C2×C22⋊C4) = C2×D4⋊C4central stem extension (φ=1)32C2.17(C2xC2^2:C4)64,95
C2.18(C2×C22⋊C4) = C2×Q8⋊C4central stem extension (φ=1)64C2.18(C2xC2^2:C4)64,96
C2.19(C2×C22⋊C4) = C23.24D4central stem extension (φ=1)32C2.19(C2xC2^2:C4)64,97
C2.20(C2×C22⋊C4) = C23.36D4central stem extension (φ=1)32C2.20(C2xC2^2:C4)64,98
C2.21(C2×C22⋊C4) = C23.37D4central stem extension (φ=1)16C2.21(C2xC2^2:C4)64,99
C2.22(C2×C22⋊C4) = C23.38D4central stem extension (φ=1)32C2.22(C2xC2^2:C4)64,100
C2.23(C2×C22⋊C4) = C2×C4≀C2central stem extension (φ=1)16C2.23(C2xC2^2:C4)64,101
C2.24(C2×C22⋊C4) = C42⋊C22central stem extension (φ=1)164C2.24(C2xC2^2:C4)64,102

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