Extensions 1→N→G→Q→1 with N=D₇×D₈ and Q=C₂

Direct product G=N×Q with N=D₇×D₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₇×D₈		112		C2xD7xD8	448,1207

Semidirect products G=N:Q with N=D₇×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×D₈)⋊₁C₂ = D₇×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	56	8+	(D7xD8):1C2	448,1225
(D₇×D₈)⋊₂C₂ = D₈⋊₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	8+	(D7xD8):2C2	448,1227
(D₇×D₈)⋊₃C₂ = D₇×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4+	(D7xD8):3C2	448,444
(D₇×D₈)⋊₄C₂ = D₈⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4	(D7xD8):4C2	448,445
(D₇×D₈)⋊₅C₂ = D₁₁₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4+	(D7xD8):5C2	448,448
(D₇×D₈)⋊₆C₂ = D₈⋊₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4	(D7xD8):6C2	448,1210
(D₇×D₈)⋊₇C₂ = D₈⋊₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4+	(D7xD8):7C2	448,1222
(D₇×D₈)⋊₈C₂ = D₇×C₄○D₈	φ: trivial image	112	4	(D7xD8):8C2	448,1220

Non-split extensions G=N.Q with N=D₇×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×D₈).C₂ = D₇×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₇×D₈	112	4	(D7xD8).C2	448,447

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