Extensions 1→N→G→Q→1 with N=C₁₈₀ and Q=C₂

Direct product G=N×Q with N=C₁₈₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₈₀		360		C2xC180	360,30

Semidirect products G=N:Q with N=C₁₈₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈₀⋊₁C₂ = D₁₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2+	C180:1C2	360,27
C₁₈₀⋊₂C₂ = C₄×D₄₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:2C2	360,26
C₁₈₀⋊₃C₂ = C₅×D₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:3C2	360,22
C₁₈₀⋊₄C₂ = C₉×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:4C2	360,17
C₁₈₀⋊₅C₂ = D₉×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:5C2	360,21
C₁₈₀⋊₆C₂ = D₅×C₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:6C2	360,16
C₁₈₀⋊₇C₂ = D₄×C₄₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	180	2	C180:7C2	360,31

Non-split extensions G=N.Q with N=C₁₈₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈₀.₁C₂ = Dic₉₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2-	C180.1C2	360,25
C₁₈₀.₂C₂ = C₄₅⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.2C2	360,3
C₁₈₀.₃C₂ = C₅×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.3C2	360,20
C₁₈₀.₄C₂ = C₉×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.4C2	360,15
C₁₈₀.₅C₂ = C₅×C₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.5C2	360,1
C₁₈₀.₆C₂ = C₉×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.6C2	360,2
C₁₈₀.₇C₂ = Q₈×C₄₅	φ: C₂/C₁ → C₂ ⊆ Aut C₁₈₀	360	2	C180.7C2	360,32

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