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

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

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁C₆ = C₃×C₁₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):1C6	360,61
(C₆×D₅)⋊₂C₆ = C₃×C₃⋊D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):2C6	360,62
(C₆×D₅)⋊₃C₆ = S₃×C₆×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):3C6	360,151
(C₆×D₅)⋊₄C₆ = C₃²×D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	180		(C6xD5):4C6	360,92
(C₆×D₅)⋊₅C₆ = C₃²×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	180		(C6xD5):5C6	360,94

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁C₆ = C₃×D₅×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).1C6	360,58
(C₆×D₅).₂C₆ = C₉×D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	180	2	(C6xD5).2C6	360,17
(C₆×D₅).₃C₆ = C₉×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	180	2	(C6xD5).3C6	360,19
(C₆×D₅).₄C₆ = C₆×C₃⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5).4C6	360,146
(C₆×D₅).₅C₆ = C₁₈×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	90	4	(C6xD5).5C6	360,43
(C₆×D₅).₆C₆ = C₃×C₆×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₆×D₅	90		(C6xD5).6C6	360,145
(C₆×D₅).₇C₆ = D₅×C₃₆	φ: trivial image	180	2	(C6xD5).7C6	360,16
(C₆×D₅).₈C₆ = D₅×C₂×C₁₈	φ: trivial image	180		(C6xD5).8C6	360,47
(C₆×D₅).₉C₆ = D₅×C₃×C₁₂	φ: trivial image	180		(C6xD5).9C6	360,91

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