Extensions 1→N→G→Q→1 with N=C₇×D₈ and Q=C₂

Direct product G=N×Q with N=C₇×D₈ and Q=C₂

		d	ρ	Label	ID
C₁₄×D₈		112		C14xD8	224,167

Semidirect products G=N:Q with N=C₇×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₈)⋊₁C₂ = C₇⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	112	4+	(C7xD8):1C2	224,32
(C₇×D₈)⋊₂C₂ = D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	56	4+	(C7xD8):2C2	224,105
(C₇×D₈)⋊₃C₂ = D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	112	4-	(C7xD8):3C2	224,107
(C₇×D₈)⋊₄C₂ = D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	56	4	(C7xD8):4C2	224,106
(C₇×D₈)⋊₅C₂ = C₇×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	112	2	(C7xD8):5C2	224,60
(C₇×D₈)⋊₆C₂ = C₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	56	4	(C7xD8):6C2	224,171
(C₇×D₈)⋊₇C₂ = C₇×C₄○D₈	φ: trivial image	112	2	(C7xD8):7C2	224,170

Non-split extensions G=N.Q with N=C₇×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₈).₁C₂ = D₈.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	112	4-	(C7xD8).1C2	224,33
(C₇×D₈).₂C₂ = C₇×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×D₈	112	2	(C7xD8).2C2	224,61

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