Extensions 1→N→G→Q→1 with N=C₄₅ and Q=S₃

Direct product G=N×Q with N=C₄₅ and Q=S₃

		d	ρ	Label	ID
S₃×C₄₅		90	2	S3xC45	270,9

Semidirect products G=N:Q with N=C₄₅ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅⋊₁S₃ = C₃⋊D₄₅	φ: S₃/C₃ → C₂ ⊆ Aut C₄₅	135		C45:1S3	270,18
C₄₅⋊₂S₃ = C₅×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄₅	135		C45:2S3	270,16
C₄₅⋊₃S₃ = C₉×D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₄₅	90	2	C45:3S3	270,13

Non-split extensions G=N.Q with N=C₄₅ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₅.₁S₃ = D₁₃₅	φ: S₃/C₃ → C₂ ⊆ Aut C₄₅	135	2+	C45.1S3	270,3
C₄₅.₂S₃ = C₅×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₄₅	135	2	C45.2S3	270,1

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Extensions 1→N→G→Q→1 with N=C45 and Q=S3