Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=D₅

Direct product G=N×Q with N=C₂×C₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₆		60		D5xC2xC6	120,44

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₅ = C₃×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):1D5	120,20
(C₂×C₆)⋊₂D₅ = C₁₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):2D5	120,30
(C₂×C₆)⋊₃D₅ = C₂²×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₆	60		(C2xC6):3D5	120,46

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₅ = C₂×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6).D5	120,29
(C₂×C₆).₂D₅ = C₆×Dic₅	central extension (φ=1)	120		(C2xC6).2D5	120,19

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=D5