Extensions 1→N→G→Q→1 with N=C₂×C₃⋊D₁₅ and Q=C₂

Direct product G=N×Q with N=C₂×C₃⋊D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃⋊D₁₅		180		C2^2xC3:D15	360,161

Semidirect products G=N:Q with N=C₂×C₃⋊D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊D₁₅)⋊₁C₂ = C₆₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	180		(C2xC3:D15):1C2	360,112
(C₂×C₃⋊D₁₅)⋊₂C₂ = C₆²⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	180		(C2xC3:D15):2C2	360,114
(C₂×C₃⋊D₁₅)⋊₃C₂ = C₃²⋊₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	180		(C2xC3:D15):3C2	360,69
(C₂×C₃⋊D₁₅)⋊₄C₂ = C₁₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	180		(C2xC3:D15):4C2	360,70
(C₂×C₃⋊D₁₅)⋊₅C₂ = C₃⋊D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	60	4+	(C2xC3:D15):5C2	360,81
(C₂×C₃⋊D₁₅)⋊₆C₂ = D₆⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	60	4+	(C2xC3:D15):6C2	360,82
(C₂×C₃⋊D₁₅)⋊₇C₂ = C₂×D₅×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	90		(C2xC3:D15):7C2	360,152
(C₂×C₃⋊D₁₅)⋊₈C₂ = C₂×S₃×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	60	4+	(C2xC3:D15):8C2	360,154

Non-split extensions G=N.Q with N=C₂×C₃⋊D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊D₁₅).₁C₂ = C₂×C₃²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	60	4+	(C2xC3:D15).1C2	360,150
(C₂×C₃⋊D₁₅).₂C₂ = C₃₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	180		(C2xC3:D15).2C2	360,67
(C₂×C₃⋊D₁₅).₃C₂ = C₆.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊D₁₅	60	4+	(C2xC3:D15).3C2	360,79
(C₂×C₃⋊D₁₅).₄C₂ = C₄×C₃⋊D₁₅	φ: trivial image	180		(C2xC3:D15).4C2	360,111

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