Extensions 1→N→G→Q→1 with N=D₅.D₈ and Q=C₂

Direct product G=N×Q with N=D₅.D₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₅.D₈		80		C2xD5.D8	320,1058

Semidirect products G=N:Q with N=D₅.D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.D₈⋊₁C₂ = D₅.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	80	8+	D5.D8:1C2	320,242
D₅.D₈⋊₂C₂ = D₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	40	8+	D5.D8:2C2	320,1068
D₅.D₈⋊₃C₂ = SD₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	40	8	D5.D8:3C2	320,1073
D₅.D₈⋊₄C₂ = M₄(2)⋊₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	40	8	D5.D8:4C2	320,1065
D₅.D₈⋊₅C₂ = (C₂×C₈)⋊₆F₅	φ: trivial image	80	4	D5.D8:5C2	320,1059

Non-split extensions G=N.Q with N=D₅.D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.D₈.₁C₂ = D₅.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	80	8-	D5.D8.1C2	320,246
D₅.D₈.₂C₂ = Q₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	80	8-	D5.D8.2C2	320,1076
D₅.D₈.₃C₂ = C₈₀⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	80	4	D5.D8.3C2	320,187
D₅.D₈.₄C₂ = C₈₀⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅.D₈	80	4	D5.D8.4C2	320,188

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