Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=C₈

Direct product G=N×Q with N=C₇×Q₈ and Q=C₈

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

Semidirect products G=N:Q with N=C₇×Q₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁C₈ = C₂₈.₂₆Q₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):1C8	448,92
(C₇×Q₈)⋊₂C₈ = Q₈×C₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):2C8	448,557
(C₇×Q₈)⋊₃C₈ = C₇×Q₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	448		(C7xQ8):3C8	448,130

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).₁C₈ = C₅₆.₉₂D₄	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	224	4	(C7xQ8).1C8	448,118
(C₇×Q₈).₂C₈ = C₅₆.₇₀C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	224	4	(C7xQ8).2C8	448,674
(C₇×Q₈).₃C₈ = C₇×D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×Q₈	224	2	(C7xQ8).3C8	448,154
(C₇×Q₈).₄C₈ = C₇×D₄○C₁₆	φ: trivial image	224	2	(C7xQ8).4C8	448,912

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