Extensions 1→N→G→Q→1 with N=D₇xD₈ and Q=C₂

Direct product G=NxQ with N=D₇xD₈ and Q=C₂

		d	ρ	Label	ID
C₂xD₇xD₈		112		C2xD7xD8	448,1207

Semidirect products G=N:Q with N=D₇xD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇xD₈):₁C₂ = D₇xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	56	8+	(D7xD8):1C2	448,1225
(D₇xD₈):₂C₂ = D₈:₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	8+	(D7xD8):2C2	448,1227
(D₇xD₈):₃C₂ = D₇xD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4+	(D7xD8):3C2	448,444
(D₇xD₈):₄C₂ = D₈:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4	(D7xD8):4C2	448,445
(D₇xD₈):₅C₂ = D₁₁₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4+	(D7xD8):5C2	448,448
(D₇xD₈):₆C₂ = D₈:₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4	(D7xD8):6C2	448,1210
(D₇xD₈):₇C₂ = D₈:₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4+	(D7xD8):7C2	448,1222
(D₇xD₈):₈C₂ = D₇xC₄oD₈	φ: trivial image	112	4	(D7xD8):8C2	448,1220

Non-split extensions G=N.Q with N=D₇xD₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇xD₈).C₂ = D₇xSD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xD₈	112	4	(D7xD8).C2	448,447

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