Extensions 1→N→G→Q→1 with N=C₄₅ and Q=C₄

Direct product G=N×Q with N=C₄₅ and Q=C₄

		d	ρ	Label	ID
C₁₈₀		180	1	C180	180,4

Semidirect products G=N:Q with N=C₄₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊₁C₄ = C₉⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₄₅	45	4	C45:1C4	180,6
C₄₅⋊₂C₄ = C₉×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₄₅	45	4	C45:2C4	180,5
C₄₅⋊₃C₄ = Dic₄₅	φ: C₄/C₂ → C₂ ⊆ Aut C₄₅	180	2-	C45:3C4	180,3
C₄₅⋊₄C₄ = C₅×Dic₉	φ: C₄/C₂ → C₂ ⊆ Aut C₄₅	180	2	C45:4C4	180,1
C₄₅⋊₅C₄ = C₉×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₄₅	180	2	C45:5C4	180,2

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