Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=D₅

Direct product G=N×Q with N=C₃×C₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₃×C₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₃×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁D₅ = C₆×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₆	60	2	(C3xC6):1D5	180,34
(C₃×C₆)⋊₂D₅ = C₂×C₃⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₆	90		(C3xC6):2D5	180,36

Non-split extensions G=N.Q with N=C₃×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁D₅ = C₃×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₆	60	2	(C3xC6).1D5	180,15
(C₃×C₆).₂D₅ = C₃⋊Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₆	180		(C3xC6).2D5	180,17
(C₃×C₆).₃D₅ = C₃²×Dic₅	central extension (φ=1)	180		(C3xC6).3D5	180,13

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=D5