Extensions 1→N→G→Q→1 with N=C₄₅ and Q=D₅

Direct product G=N×Q with N=C₄₅ and Q=D₅

		d	ρ	Label	ID
D₅×C₄₅		90	2	D5xC45	450,14

Semidirect products G=N:Q with N=C₄₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊₁D₅ = C₅⋊D₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₅	225		C45:1D5	450,18
C₄₅⋊₂D₅ = C₅×D₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₅	90	2	C45:2D5	450,17
C₄₅⋊₃D₅ = C₉×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₅	225		C45:3D5	450,15

Non-split extensions G=N.Q with N=C₄₅ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅.₁D₅ = D₂₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₅	225	2+	C45.1D5	450,3
C₄₅.₂D₅ = C₉×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₅	225	2	C45.2D5	450,2

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Extensions 1→N→G→Q→1 with N=C45 and Q=D5