Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₁₅

Direct product G=N×Q with N=C₂×C₆ and Q=D₁₅

		d	ρ	Label	ID
C₂×C₆×D₁₅		120		C2xC6xD15	360,159

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₁₅ = C₃×C₅⋊S₄	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂×C₆	60	6	(C2xC6):1D15	360,139
(C₂×C₆)⋊₂D₁₅ = A₄⋊D₁₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂×C₆	60	6+	(C2xC6):2D15	360,141
(C₂×C₆)⋊₃D₁₅ = C₃×C₁₅⋊₇D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):3D15	360,104
(C₂×C₆)⋊₄D₁₅ = C₆²⋊D₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):4D15	360,114
(C₂×C₆)⋊₅D₁₅ = C₂²×C₃⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):5D15	360,161

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₁₅ = C₂²⋊D₄₅	φ: D₁₅/C₅ → S₃ ⊆ Aut C₂×C₆	90	6+	(C2xC6).D15	360,41
(C₂×C₆).₂D₁₅ = C₂×Dic₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	360		(C2xC6).2D15	360,28
(C₂×C₆).₃D₁₅ = C₄₅⋊₇D₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180	2	(C2xC6).3D15	360,29
(C₂×C₆).₄D₁₅ = C₂²×D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6).4D15	360,49
(C₂×C₆).₅D₁₅ = C₂×C₃⋊Dic₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂×C₆	360		(C2xC6).5D15	360,113
(C₂×C₆).₆D₁₅ = C₆×Dic₁₅	central extension (φ=1)	120		(C2xC6).6D15	360,103

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