Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=D₆

Direct product G=N×Q with N=C₃×D₅ and Q=D₆

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

Semidirect products G=N:Q with N=C₃×D₅ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊₁D₆ = S₃²×D₅	φ: D₆/S₃ → C₂ ⊆ Out C₃×D₅	30	8+	(C3xD5):1D6	360,137
(C₃×D₅)⋊₂D₆ = C₂×D₅×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out C₃×D₅	90		(C3xD5):2D6	360,152

Non-split extensions G=N.Q with N=C₃×D₅ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁D₆ = D₉×F₅	φ: D₆/C₃ → C₂² ⊆ Out C₃×D₅	45	8+	(C3xD5).1D6	360,39
(C₃×D₅).₂D₆ = C₃⋊S₃×F₅	φ: D₆/C₃ → C₂² ⊆ Out C₃×D₅	45		(C3xD5).2D6	360,127
(C₃×D₅).₃D₆ = C₃⋊F₅⋊S₃	φ: D₆/C₃ → C₂² ⊆ Out C₃×D₅	30	8+	(C3xD5).3D6	360,129
(C₃×D₅).₄D₆ = S₃×C₃⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out C₃×D₅	30	8	(C3xD5).4D6	360,128
(C₃×D₅).₅D₆ = C₃×S₃×F₅	φ: D₆/S₃ → C₂ ⊆ Out C₃×D₅	30	8	(C3xD5).5D6	360,126
(C₃×D₅).₆D₆ = C₂×D₅×D₉	φ: D₆/C₆ → C₂ ⊆ Out C₃×D₅	90	4+	(C3xD5).6D6	360,45
(C₃×D₅).₇D₆ = C₂×C₉⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out C₃×D₅	90	4	(C3xD5).7D6	360,44
(C₃×D₅).₈D₆ = C₂×C₃²⋊₃F₅	φ: D₆/C₆ → C₂ ⊆ Out C₃×D₅	90		(C3xD5).8D6	360,147
(C₃×D₅).₉D₆ = C₆×C₃⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).9D6	360,146

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