Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅₆

Direct product G=N×Q with N=D₄ and Q=C₅₆

		d	ρ	Label	ID
D₄×C₅₆		224		D4xC56	448,842

Semidirect products G=N:Q with N=D₄ and Q=C₅₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₅₆ = C₇×D₄⋊C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Out D₄	224		D4:C56	448,129

Non-split extensions G=N.Q with N=D₄ and Q=C₅₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₅₆ = C₇×D₄.C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Out D₄	224	2	D4.C56	448,154
D₄.₂C₅₆ = C₇×D₄○C₁₆	φ: trivial image	224	2	D4.2C56	448,912

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Extensions 1→N→G→Q→1 with N=D4 and Q=C56