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

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


Non-split extensions G=N.Q with N=C2 and Q=C4×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C2.1(C4×C22⋊C4) = C4×C2.C42central extension (φ=1)128C2.1(C4xC2^2:C4)128,164
C2.2(C4×C22⋊C4) = C4×C22⋊C8central extension (φ=1)64C2.2(C4xC2^2:C4)128,480
C2.3(C4×C22⋊C4) = C8×C22⋊C4central extension (φ=1)64C2.3(C4xC2^2:C4)128,483
C2.4(C4×C22⋊C4) = C24.17Q8central stem extension (φ=1)64C2.4(C4xC2^2:C4)128,165
C2.5(C4×C22⋊C4) = C24.624C23central stem extension (φ=1)128C2.5(C4xC2^2:C4)128,166
C2.6(C4×C22⋊C4) = C24.626C23central stem extension (φ=1)128C2.6(C4xC2^2:C4)128,168
C2.7(C4×C22⋊C4) = C23⋊2C42central stem extension (φ=1)64C2.7(C4xC2^2:C4)128,169
C2.8(C4×C22⋊C4) = C42.378D4central stem extension (φ=1)64C2.8(C4xC2^2:C4)128,481
C2.9(C4×C22⋊C4) = C42.379D4central stem extension (φ=1)64C2.9(C4xC2^2:C4)128,482
C2.10(C4×C22⋊C4) = C23.36C42central stem extension (φ=1)64C2.10(C4xC2^2:C4)128,484
C2.11(C4×C22⋊C4) = C23.17C42central stem extension (φ=1)64C2.11(C4xC2^2:C4)128,485
C2.12(C4×C22⋊C4) = C4×C23⋊C4central stem extension (φ=1)32C2.12(C4xC2^2:C4)128,486
C2.13(C4×C22⋊C4) = C4×C4.D4central stem extension (φ=1)32C2.13(C4xC2^2:C4)128,487
C2.14(C4×C22⋊C4) = C4×C4.10D4central stem extension (φ=1)64C2.14(C4xC2^2:C4)128,488
C2.15(C4×C22⋊C4) = C23.5C42central stem extension (φ=1)324C2.15(C4xC2^2:C4)128,489
C2.16(C4×C22⋊C4) = C4×C4≀C2central stem extension (φ=1)32C2.16(C4xC2^2:C4)128,490
C2.17(C4×C22⋊C4) = D4.C42central stem extension (φ=1)32C2.17(C4xC2^2:C4)128,491
C2.18(C4×C22⋊C4) = C4×D4⋊C4central stem extension (φ=1)64C2.18(C4xC2^2:C4)128,492
C2.19(C4×C22⋊C4) = C4×Q8⋊C4central stem extension (φ=1)128C2.19(C4xC2^2:C4)128,493
C2.20(C4×C22⋊C4) = D4⋊C42central stem extension (φ=1)64C2.20(C4xC2^2:C4)128,494
C2.21(C4×C22⋊C4) = Q8⋊C42central stem extension (φ=1)128C2.21(C4xC2^2:C4)128,495
C2.22(C4×C22⋊C4) = Q8.C42central stem extension (φ=1)32C2.22(C4xC2^2:C4)128,496
C2.23(C4×C22⋊C4) = D4.3C42central stem extension (φ=1)32C2.23(C4xC2^2:C4)128,497

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