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Extensions 1→N→G→Q→1 with N=C2 and Q=C23.78C23

Direct product G=NxQ with N=C2 and Q=C23.78C23
dρLabelID
C2xC23.78C23128C2xC2^3.78C2^3128,1119


Non-split extensions G=N.Q with N=C2 and Q=C23.78C23
extensionφ:Q→Aut NdρLabelID
C2.1(C23.78C23) = C24.631C23central extension (φ=1)128C2.1(C2^3.78C2^3)128,173
C2.2(C23.78C23) = C24.634C23central extension (φ=1)128C2.2(C2^3.78C2^3)128,176
C2.3(C23.78C23) = C24.636C23central extension (φ=1)128C2.3(C2^3.78C2^3)128,178
C2.4(C23.78C23) = C4:C4:Q8central stem extension (φ=1)128C2.4(C2^3.78C2^3)128,789
C2.5(C23.78C23) = (C2xC8):Q8central stem extension (φ=1)128C2.5(C2^3.78C2^3)128,790
C2.6(C23.78C23) = C2.(C8:Q8)central stem extension (φ=1)128C2.6(C2^3.78C2^3)128,791
C2.7(C23.78C23) = M4(2):Q8central stem extension (φ=1)32C2.7(C2^3.78C2^3)128,792
C2.8(C23.78C23) = C42:3Q8central stem extension (φ=1)32C2.8(C2^3.78C2^3)128,793
C2.9(C23.78C23) = C24.182C23central stem extension (φ=1)32C2.9(C2^3.78C2^3)128,794

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