Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×C₅₄

Direct product G=N×Q with N=C₂ and Q=C₂²×C₅₄

		d	ρ	Label	ID
C₂³×C₅₄		432		C2^3xC54	432,228

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×C₅₄) = D₄×C₅₄	central stem extension (φ=1)	216		C2.1(C2^2xC54)	432,54
C₂.₂(C₂²×C₅₄) = Q₈×C₅₄	central stem extension (φ=1)	432		C2.2(C2^2xC54)	432,55
C₂.₃(C₂²×C₅₄) = C₄○D₄×C₂₇	central stem extension (φ=1)	216	2	C2.3(C2^2xC54)	432,56

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Extensions 1→N→G→Q→1 with N=C2 and Q=C22×C54