Extensions 1→N→G→Q→1 with N=C₇×Q₈ and Q=C₂

Direct product G=N×Q with N=C₇×Q₈ and Q=C₂

		d	ρ	Label	ID
Q₈×C₁₄		112		Q8xC14	112,39

Semidirect products G=N:Q with N=C₇×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈)⋊₁C₂ = Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	56	4+	(C7xQ8):1C2	112,16
(C₇×Q₈)⋊₂C₂ = Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	56	4-	(C7xQ8):2C2	112,33
(C₇×Q₈)⋊₃C₂ = Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	56	4+	(C7xQ8):3C2	112,34
(C₇×Q₈)⋊₄C₂ = C₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	56	2	(C7xQ8):4C2	112,25
(C₇×Q₈)⋊₅C₂ = C₇×C₄○D₄	φ: trivial image	56	2	(C7xQ8):5C2	112,40

Non-split extensions G=N.Q with N=C₇×Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Q₈).₁C₂ = C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	112	4-	(C7xQ8).1C2	112,17
(C₇×Q₈).₂C₂ = C₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Q₈	112	2	(C7xQ8).2C2	112,26

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