Extensions 1→N→G→Q→1 with N=C2 and Q=Q8×C2×C10

Direct product G=N×Q with N=C2 and Q=Q8×C2×C10
dρLabelID
Q8×C22×C10320Q8xC2^2xC10320,1630


Non-split extensions G=N.Q with N=C2 and Q=Q8×C2×C10
extensionφ:Q→Aut NdρLabelID
C2.1(Q8×C2×C10) = C4⋊C4×C2×C10central extension (φ=1)320C2.1(Q8xC2xC10)320,1515
C2.2(Q8×C2×C10) = Q8×C2×C20central extension (φ=1)320C2.2(Q8xC2xC10)320,1518
C2.3(Q8×C2×C10) = C10×C22⋊Q8central stem extension (φ=1)160C2.3(Q8xC2xC10)320,1525
C2.4(Q8×C2×C10) = C10×C42.C2central stem extension (φ=1)320C2.4(Q8xC2xC10)320,1529
C2.5(Q8×C2×C10) = C10×C4⋊Q8central stem extension (φ=1)320C2.5(Q8xC2xC10)320,1533
C2.6(Q8×C2×C10) = C5×C23.37C23central stem extension (φ=1)160C2.6(Q8xC2xC10)320,1535
C2.7(Q8×C2×C10) = C5×C232Q8central stem extension (φ=1)80C2.7(Q8xC2xC10)320,1545
C2.8(Q8×C2×C10) = C5×C23.41C23central stem extension (φ=1)160C2.8(Q8xC2xC10)320,1546
C2.9(Q8×C2×C10) = C5×D4×Q8central stem extension (φ=1)160C2.9(Q8xC2xC10)320,1551
C2.10(Q8×C2×C10) = C5×D43Q8central stem extension (φ=1)160C2.10(Q8xC2xC10)320,1556
C2.11(Q8×C2×C10) = C5×Q83Q8central stem extension (φ=1)320C2.11(Q8xC2xC10)320,1559
C2.12(Q8×C2×C10) = C5×Q82central stem extension (φ=1)320C2.12(Q8xC2xC10)320,1560

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