Extensions 1→N→G→Q→1 with N=C₄₀⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₄₀⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄₀⋊C₄		80		C2xC40:C4	320,1057

Semidirect products G=N:Q with N=C₄₀⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄₀⋊C₄⋊₁C₂ = D₁₀.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	80	8-	C40:C4:1C2	320,241
C₄₀⋊C₄⋊₂C₂ = D₄₀⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	80	8+	C40:C4:2C2	320,245
C₄₀⋊C₄⋊₃C₂ = D₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	40	8+	C40:C4:3C2	320,1069
C₄₀⋊C₄⋊₄C₂ = SD₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	40	8	C40:C4:4C2	320,1072
C₄₀⋊C₄⋊₅C₂ = M₄(2)⋊₁F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	40	8	C40:C4:5C2	320,1065
C₄₀⋊C₄⋊₆C₂ = (C₂×C₈)⋊₆F₅	φ: trivial image	80	4	C40:C4:6C2	320,1059

Non-split extensions G=N.Q with N=C₄₀⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄₀⋊C₄.₁C₂ = Dic₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	80	8-	C40:C4.1C2	320,1077
C₄₀⋊C₄.₂C₂ = C₈₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	80	4	C40:C4.2C2	320,185
C₄₀⋊C₄.₃C₂ = C₈₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀⋊C₄	80	4	C40:C4.3C2	320,186

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