Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=C₄

Direct product G=N×Q with N=C₇×D₄ and Q=C₄

		d	ρ	Label	ID
D₄×C₂₈		112		D4xC28	224,153

Semidirect products G=N:Q with N=C₇×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁C₄ = D₄⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	112		(C7xD4):1C4	224,38
(C₇×D₄)⋊₂C₄ = D₄⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	56	4	(C7xD4):2C4	224,43
(C₇×D₄)⋊₃C₄ = D₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	112		(C7xD4):3C4	224,129
(C₇×D₄)⋊₄C₄ = C₇×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	112		(C7xD4):4C4	224,51
(C₇×D₄)⋊₅C₄ = C₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	56	2	(C7xD4):5C4	224,53

Non-split extensions G=N.Q with N=C₇×D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).C₄ = Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).C4	224,143
(C₇×D₄).₂C₄ = C₇×C₈○D₄	φ: trivial image	112	2	(C7xD4).2C4	224,166

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