Extensions 1→N→G→Q→1 with N=D₄×C₁₅ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₅ and Q=C₂

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=D₄×C₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₅)⋊₁C₂ = D₄⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4+	(D4xC15):1C2	240,76
(D₄×C₁₅)⋊₂C₂ = D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	60	4+	(D4xC15):2C2	240,179
(D₄×C₁₅)⋊₃C₂ = D₄⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4-	(D4xC15):3C2	240,180
(D₄×C₁₅)⋊₄C₂ = C₃×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):4C2	240,44
(D₄×C₁₅)⋊₅C₂ = C₃×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	60	4	(D4xC15):5C2	240,159
(D₄×C₁₅)⋊₆C₂ = C₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):6C2	240,160
(D₄×C₁₅)⋊₇C₂ = C₅×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):7C2	240,60
(D₄×C₁₅)⋊₈C₂ = C₅×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	60	4	(D4xC15):8C2	240,169
(D₄×C₁₅)⋊₉C₂ = C₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):9C2	240,170
(D₄×C₁₅)⋊₁₀C₂ = C₁₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	2	(D4xC15):10C2	240,86
(D₄×C₁₅)⋊₁₁C₂ = C₁₅×C₄○D₄	φ: trivial image	120	2	(D4xC15):11C2	240,188

Non-split extensions G=N.Q with N=D₄×C₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₅).₁C₂ = D₄.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4-	(D4xC15).1C2	240,77
(D₄×C₁₅).₂C₂ = C₃×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15).2C2	240,45
(D₄×C₁₅).₃C₂ = C₅×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15).3C2	240,61
(D₄×C₁₅).₄C₂ = C₁₅×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₅	120	2	(D4xC15).4C2	240,87

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