Extensions 1→N→G→Q→1 with N=C₂ and Q=C₅₆.C₄

Direct product G=N×Q with N=C₂ and Q=C₅₆.C₄

		d	ρ	Label	ID
C₂×C₅₆.C₄		224		C2xC56.C4	448,641

Non-split extensions G=N.Q with N=C₂ and Q=C₅₆.C₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₅₆.C₄) = C₅₆⋊₂C₈	central extension (φ=1)	448	C2.1(C56.C4)	448,14
C₂.₂(C₅₆.C₄) = C₅₆⋊₁C₈	central extension (φ=1)	448	C2.2(C56.C4)	448,15
C₂.₃(C₅₆.C₄) = C₂₈.₁₀C₄²	central extension (φ=1)	224	C2.3(C56.C4)	448,109

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Extensions 1→N→G→Q→1 with N=C2 and Q=C56.C4