Extensions 1→N→G→Q→1 with N=C₈₀⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₈₀⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₈₀⋊C₂		160		C2xC80:C2	320,527

Semidirect products G=N:Q with N=C₈₀⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈₀⋊C₂⋊₁C₂ = C₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4+	C80:C2:1C2	320,541
C₈₀⋊C₂⋊₂C₂ = SD₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	160	4-	C80:C2:2C2	320,542
C₈₀⋊C₂⋊₃C₂ = D₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2:3C2	320,538
C₈₀⋊C₂⋊₄C₂ = Q₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	160	4	C80:C2:4C2	320,545
C₈₀⋊C₂⋊₅C₂ = D₅×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2:5C2	320,533
C₈₀⋊C₂⋊₆C₂ = D₂₀.₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	160	4	C80:C2:6C2	320,534
C₈₀⋊C₂⋊₇C₂ = D₂₀.₆C₈	φ: trivial image	160	2	C80:C2:7C2	320,528

Non-split extensions G=N.Q with N=C₈₀⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈₀⋊C₂.₁C₂ = C₈₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2.1C2	320,185
C₈₀⋊C₂.₂C₂ = C₈₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2.2C2	320,186
C₈₀⋊C₂.₃C₂ = C₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2.3C2	320,183
C₈₀⋊C₂.₄C₂ = C₁₆⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₈₀⋊C₂	80	4	C80:C2.4C2	320,184

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