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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁C₂ = C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	60	4-	(C6xD5):1C2	120,11
(C₆×D₅)⋊₂C₂ = C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	60	4+	(C6xD5):2C2	120,12
(C₆×D₅)⋊₃C₂ = C₂×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	30	4+	(C6xD5):3C2	120,42
(C₆×D₅)⋊₄C₂ = C₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	60	2	(C6xD5):4C2	120,18
(C₆×D₅)⋊₅C₂ = C₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	60	2	(C6xD5):5C2	120,20

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁C₂ = D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	60	4-	(C6xD5).1C2	120,8
(C₆×D₅).₂C₂ = C₂×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	30	4	(C6xD5).2C2	120,41
(C₆×D₅).₃C₂ = C₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₅	30	4	(C6xD5).3C2	120,40
(C₆×D₅).₄C₂ = D₅×C₁₂	φ: trivial image	60	2	(C6xD5).4C2	120,17

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