Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅₆

Direct product G=N×Q with N=Q₈ and Q=C₅₆

		d	ρ	Label	ID
Q₈×C₅₆		448		Q8xC56	448,853

Semidirect products G=N:Q with N=Q₈ and Q=C₅₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₅₆ = C₇×Q₈⋊C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Out Q₈	448		Q8:C56	448,130

Non-split extensions G=N.Q with N=Q₈ and Q=C₅₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₅₆ = C₇×D₄.C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Out Q₈	224	2	Q8.C56	448,154
Q₈.₂C₅₆ = C₇×D₄○C₁₆	φ: trivial image	224	2	Q8.2C56	448,912

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C56