Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄₅

Direct product G=N×Q with N=C₄ and Q=D₄₅

		d	ρ	Label	ID
C₄×D₄₅		180	2	C4xD45	360,26

Semidirect products G=N:Q with N=C₄ and Q=D₄₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₄₅ = D₁₈₀	φ: D₄₅/C₄₅ → C₂ ⊆ Aut C₄	180	2+	C4:D45	360,27

Non-split extensions G=N.Q with N=C₄ and Q=D₄₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₄₅ = Dic₉₀	φ: D₄₅/C₄₅ → C₂ ⊆ Aut C₄	360	2-	C4.D45	360,25
C₄.₂D₄₅ = C₄₅⋊₃C₈	central extension (φ=1)	360	2	C4.2D45	360,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=D45