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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₅)⋊₁C₂ = C₃×D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	2	(C6xD15):1C2	360,102
(C₆×D₁₅)⋊₂C₂ = C₃×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	2	(C6xD15):2C2	360,104
(C₆×D₁₅)⋊₃C₂ = C₃×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4	(C6xD15):3C2	360,62
(C₆×D₁₅)⋊₄C₂ = C₃×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4	(C6xD15):4C2	360,63
(C₆×D₁₅)⋊₅C₂ = D₆⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4-	(C6xD15):5C2	360,80
(C₆×D₁₅)⋊₆C₂ = C₃⋊D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4+	(C6xD15):6C2	360,81
(C₆×D₁₅)⋊₇C₂ = D₃₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4	(C6xD15):7C2	360,86
(C₆×D₁₅)⋊₈C₂ = C₃²⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4	(C6xD15):8C2	360,87
(C₆×D₁₅)⋊₉C₂ = S₃×C₆×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4	(C6xD15):9C2	360,151
(C₆×D₁₅)⋊₁₀C₂ = C₂×S₃×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4+	(C6xD15):10C2	360,154
(C₆×D₁₅)⋊₁₁C₂ = C₂×D₁₅⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	60	4	(C6xD15):11C2	360,155

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₅).₁C₂ = C₃×D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4	(C6xD15).1C2	360,60
(C₆×D₁₅).₂C₂ = Dic₃×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4-	(C6xD15).2C2	360,77
(C₆×D₁₅).₃C₂ = D₃₀.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₅	120	4	(C6xD15).3C2	360,84
(C₆×D₁₅).₄C₂ = C₁₂×D₁₅	φ: trivial image	120	2	(C6xD15).4C2	360,101

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