Extensions 1→N→G→Q→1 with N=C₇×Q₁₆ and Q=C₄

Direct product G=N×Q with N=C₇×Q₁₆ and Q=C₄

		d	ρ	Label	ID
Q₁₆×C₂₈		448		Q16xC28	448,847

Semidirect products G=N:Q with N=C₇×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆)⋊₁C₄ = C₁₄.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16):1C4	448,121
(C₇×Q₁₆)⋊₂C₄ = Q₁₆×Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16):2C4	448,717
(C₇×Q₁₆)⋊₃C₄ = D₈⋊₅Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):3C4	448,730
(C₇×Q₁₆)⋊₄C₄ = D₈⋊₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):4C4	448,123
(C₇×Q₁₆)⋊₅C₄ = Q₁₆⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16):5C4	448,718
(C₇×Q₁₆)⋊₆C₄ = D₈⋊₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):6C4	448,731
(C₇×Q₁₆)⋊₇C₄ = C₇×C₂.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16):7C4	448,162
(C₇×Q₁₆)⋊₈C₄ = C₇×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):8C4	448,164
(C₇×Q₁₆)⋊₉C₄ = C₇×Q₁₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	448		(C7xQ16):9C4	448,849
(C₇×Q₁₆)⋊₁₀C₄ = C₇×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):10C4	448,852
(C₇×Q₁₆)⋊₁₁C₄ = C₇×C₈○D₈	φ: trivial image	112	2	(C7xQ16):11C4	448,851

Non-split extensions G=N.Q with N=C₇×Q₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆).₁C₄ = C₂₈.₅₈D₈	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).1C4	448,124
(C₇×Q₁₆).₂C₄ = Q₁₆.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).2C4	448,122
(C₇×Q₁₆).₃C₄ = C₇×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	2	(C7xQ16).3C4	448,163
(C₇×Q₁₆).₄C₄ = C₇×C₈.₁₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₇×Q₁₆	224	4	(C7xQ16).4C4	448,166

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