Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=D₅

Direct product G=N×Q with N=S₃×C₆ and Q=D₅

		d	ρ	Label	ID
S₃×C₆×D₅		60	4	S3xC6xD5	360,151

Semidirect products G=N:Q with N=S₃×C₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁D₅ = C₃×C₁₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	60	4	(S3xC6):1D5	360,61
(S₃×C₆)⋊₂D₅ = C₃×C₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	120	4	(S3xC6):2D5	360,63
(S₃×C₆)⋊₃D₅ = D₆⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	120	4-	(S3xC6):3D5	360,80
(S₃×C₆)⋊₄D₅ = D₆⋊₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	60	4+	(S3xC6):4D5	360,82
(S₃×C₆)⋊₅D₅ = C₂×S₃×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	60	4+	(S3xC6):5D5	360,154

Non-split extensions G=N.Q with N=S₃×C₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).D₅ = S₃×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₆	120	4-	(S3xC6).D5	360,78
(S₃×C₆).₂D₅ = C₃×S₃×Dic₅	φ: trivial image	120	4	(S3xC6).2D5	360,59

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