Extensions 1→N→G→Q→1 with N=C₇×Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₇×Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₁₄×Q₁₆		224		C14xQ16	224,169

Semidirect products G=N:Q with N=C₇×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆)⋊₁C₂ = C₇⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	4+	(C7xQ16):1C2	224,34
(C₇×Q₁₆)⋊₂C₂ = D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	4-	(C7xQ16):2C2	224,112
(C₇×Q₁₆)⋊₃C₂ = Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	4+	(C7xQ16):3C2	224,114
(C₇×Q₁₆)⋊₄C₂ = Q₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):4C2	224,113
(C₇×Q₁₆)⋊₅C₂ = C₇×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	2	(C7xQ16):5C2	224,61
(C₇×Q₁₆)⋊₆C₂ = C₇×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	112	4	(C7xQ16):6C2	224,172
(C₇×Q₁₆)⋊₇C₂ = C₇×C₄○D₈	φ: trivial image	112	2	(C7xQ16):7C2	224,170

Non-split extensions G=N.Q with N=C₇×Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₁₆).₁C₂ = C₇⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	224	4-	(C7xQ16).1C2	224,35
(C₇×Q₁₆).₂C₂ = C₇×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₁₆	224	2	(C7xQ16).2C2	224,62

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