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		160		C2xC40.C4	320,1060

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄₀.C₄⋊₁C₂ = D₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄₀.C₄	80	8+	C40.C4:1C2	320,244
C₄₀.C₄⋊₂C₂ = D₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀.C₄	80	8-	C40.C4:2C2	320,1071
C₄₀.C₄⋊₃C₂ = Q₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀.C₄	80	8+	C40.C4:3C2	320,1079
C₄₀.C₄⋊₄C₂ = SD₁₆⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀.C₄	80	8	C40.C4:4C2	320,1074
C₄₀.C₄⋊₅C₂ = M₄(2).₁F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄₀.C₄	80	8	C40.C4:5C2	320,1067
C₄₀.C₄⋊₆C₂ = (C₈×D₅).C₄	φ: trivial image	80	4	C40.C4:6C2	320,1062

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	160	8-	C40.C4.1C2	320,248
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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