Extensions 1→N→G→Q→1 with N=D₉₀ and Q=C₂

Direct product G=N×Q with N=D₉₀ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄₅		180		C2^2xD45	360,49

Semidirect products G=N:Q with N=D₉₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₉₀⋊₁C₂ = D₁₈₀	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	180	2+	D90:1C2	360,27
D₉₀⋊₂C₂ = C₄₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	180	2	D90:2C2	360,29
D₉₀⋊₃C₂ = C₅⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	180	4+	D90:3C2	360,10
D₉₀⋊₄C₂ = C₉⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	180	4+	D90:4C2	360,13
D₉₀⋊₅C₂ = C₂×D₅×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	90	4+	D90:5C2	360,45

Non-split extensions G=N.Q with N=D₉₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₉₀.C₂ = D₉₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out D₉₀	180	4+	D90.C2	360,9
D₉₀.₂C₂ = C₄×D₄₅	φ: trivial image	180	2	D90.2C2	360,26

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