Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄².₇₈C₂²

Direct product G=N×Q with N=C₂ and Q=C₄².₇₈C₂²

		d	ρ	Label	ID
C₂×C₄².₇₈C₂²		64		C2xC4^2.78C2^2	128,1862

Non-split extensions G=N.Q with N=C₂ and Q=C₄².₇₈C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄².₇₈C₂²) = C₄².₅₆Q₈	central extension (φ=1)	128		C2.1(C4^2.78C2^2)	128,567
C₂.₂(C₄².₇₈C₂²) = C₂.(C₈⋊₈D₄)	central extension (φ=1)	128		C2.2(C4^2.78C2^2)	128,665
C₂.₃(C₄².₇₈C₂²) = C₂.(C₈⋊₇D₄)	central extension (φ=1)	64		C2.3(C4^2.78C2^2)	128,666
C₂.₄(C₄².₇₈C₂²) = C₄².₄₃₃D₄	central extension (φ=1)	64		C2.4(C4^2.78C2^2)	128,690
C₂.₅(C₄².₇₈C₂²) = C₄².₄₃₇D₄	central extension (φ=1)	128		C2.5(C4^2.78C2^2)	128,723
C₂.₆(C₄².₇₈C₂²) = C₄⋊C₄.₈₄D₄	central stem extension (φ=1)	64		C2.6(C4^2.78C2^2)	128,757
C₂.₇(C₄².₇₈C₂²) = C₄⋊C₄.₈₅D₄	central stem extension (φ=1)	128		C2.7(C4^2.78C2^2)	128,758
C₂.₈(C₄².₇₈C₂²) = C₄⋊C₄.₉₄D₄	central stem extension (φ=1)	64		C2.8(C4^2.78C2^2)	128,774
C₂.₉(C₄².₇₈C₂²) = C₄²⋊₈C₄⋊C₂	central stem extension (φ=1)	64		C2.9(C4^2.78C2^2)	128,805
C₂.₁₀(C₄².₇₈C₂²) = (C₂×Q₈).₁₀₉D₄	central stem extension (φ=1)	128		C2.10(C4^2.78C2^2)	128,806
C₂.₁₁(C₄².₇₈C₂²) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128		C2.11(C4^2.78C2^2)	128,833

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