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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁S₃ = C₃₀.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180		(C6xD5):1S3	360,68
(C₆×D₅)⋊₂S₃ = C₃²⋊₇D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180		(C6xD5):2S3	360,69
(C₆×D₅)⋊₃S₃ = C₂×D₅×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	90		(C6xD5):3S3	360,152
(C₆×D₅)⋊₄S₃ = C₃×C₁₅⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):4S3	360,61
(C₆×D₅)⋊₅S₃ = C₃×C₃⋊D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):5S3	360,62

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁S₃ = D₅×Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180	4-	(C6xD5).1S3	360,11
(C₆×D₅).₂S₃ = C₄₅⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180	4-	(C6xD5).2S3	360,12
(C₆×D₅).₃S₃ = C₉⋊D₂₀	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180	4+	(C6xD5).3S3	360,13
(C₆×D₅).₄S₃ = C₂×D₅×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	90	4+	(C6xD5).4S3	360,45
(C₆×D₅).₅S₃ = D₅×C₃⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	180		(C6xD5).5S3	360,65
(C₆×D₅).₆S₃ = C₂×C₉⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	90	4	(C6xD5).6S3	360,44
(C₆×D₅).₇S₃ = C₂×C₃²⋊₃F₅	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	90		(C6xD5).7S3	360,147
(C₆×D₅).₈S₃ = C₆×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).8S3	360,146
(C₆×D₅).₉S₃ = C₃×D₅×Dic₃	φ: trivial image	60	4	(C6xD5).9S3	360,58

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