Extensions 1→N→G→Q→1 with N=D₄×D₁₅ and Q=C₂

Direct product G=N×Q with N=D₄×D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₁₅		120		C2xD4xD15	480,1169

Semidirect products G=N:Q with N=D₄×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₅)⋊₁C₂ = D₁₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):1C2	480,557
(D₄×D₁₅)⋊₂C₂ = Dic₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):2C2	480,574
(D₄×D₁₅)⋊₃C₂ = D₁₂⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):3C2	480,576
(D₄×D₁₅)⋊₄C₂ = S₃×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	60	8+	(D4xD15):4C2	480,1097
(D₄×D₁₅)⋊₅C₂ = D₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):5C2	480,1100
(D₄×D₁₅)⋊₆C₂ = D₂₀⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):6C2	480,1102
(D₄×D₁₅)⋊₇C₂ = D₁₂⋊₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15):7C2	480,1103
(D₄×D₁₅)⋊₈C₂ = D₈×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4+	(D4xD15):8C2	480,875
(D₄×D₁₅)⋊₉C₂ = D₈⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4	(D4xD15):9C2	480,876
(D₄×D₁₅)⋊₁₀C₂ = Q₈⋊₃D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4+	(D4xD15):10C2	480,879
(D₄×D₁₅)⋊₁₁C₂ = D₄⋊₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4	(D4xD15):11C2	480,1171
(D₄×D₁₅)⋊₁₂C₂ = D₄⋊₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4+	(D4xD15):12C2	480,1176
(D₄×D₁₅)⋊₁₃C₂ = C₄○D₄×D₁₅	φ: trivial image	120	4	(D4xD15):13C2	480,1175

Non-split extensions G=N.Q with N=D₄×D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₅).₁C₂ = Dic₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	8+	(D4xD15).1C2	480,563
(D₄×D₁₅).₂C₂ = SD₁₆×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₅	120	4	(D4xD15).2C2	480,878

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