Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=C₈

Direct product G=N×Q with N=C₇×D₄ and Q=C₈

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

Semidirect products G=N:Q with N=C₇×D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁C₈ = C₂₈.₅₇D₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):1C8	448,91
(C₇×D₄)⋊₂C₈ = D₄×C₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):2C8	448,544
(C₇×D₄)⋊₃C₈ = C₇×D₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224		(C7xD4):3C8	448,129

Non-split extensions G=N.Q with N=C₇×D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).₁C₈ = C₅₆.₉₂D₄	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224	4	(C7xD4).1C8	448,118
(C₇×D₄).₂C₈ = C₅₆.₇₀C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224	4	(C7xD4).2C8	448,674
(C₇×D₄).₃C₈ = C₇×D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₇×D₄	224	2	(C7xD4).3C8	448,154
(C₇×D₄).₄C₈ = C₇×D₄○C₁₆	φ: trivial image	224	2	(C7xD4).4C8	448,912

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