Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=C₄

Direct product G=N×Q with N=C₇×Q₈ and Q=C₄

		d	ρ	Label	ID
Q₈×C₂₈		224		Q8xC28	224,154

Semidirect products G=N:Q with N=C₇×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁C₄ = Q₈⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):1C4	224,41
(C₇×Q₈)⋊₂C₄ = D₄⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	56	4	(C7xQ8):2C4	224,43
(C₇×Q₈)⋊₃C₄ = Q₈×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):3C4	224,140
(C₇×Q₈)⋊₄C₄ = C₇×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	224		(C7xQ8):4C4	224,52
(C₇×Q₈)⋊₅C₄ = C₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	56	2	(C7xQ8):5C4	224,53

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).C₄ = Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₈	112	4	(C7xQ8).C4	224,143
(C₇×Q₈).₂C₄ = C₇×C₈○D₄	φ: trivial image	112	2	(C7xQ8).2C4	224,166

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