Extensions 1→N→G→Q→1 with N=D₄⋊₂D₁₅ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂D₁₅		240		C2xD4:2D15	480,1170

Semidirect products G=N:Q with N=D₄⋊₂D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₁₅⋊₁C₂ = D₃₀.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	8-	D4:2D15:1C2	480,558
D₄⋊₂D₁₅⋊₂C₂ = D₂₀.₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	8-	D4:2D15:2C2	480,573
D₄⋊₂D₁₅⋊₃C₂ = D₃₀.₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	8-	D4:2D15:3C2	480,575
D₄⋊₂D₁₅⋊₄C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	8-	D4:2D15:4C2	480,1096
D₄⋊₂D₁₅⋊₅C₂ = D₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	8-	D4:2D15:5C2	480,1098
D₄⋊₂D₁₅⋊₆C₂ = S₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	8-	D4:2D15:6C2	480,1099
D₄⋊₂D₁₅⋊₇C₂ = D₂₀⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	8-	D4:2D15:7C2	480,1101
D₄⋊₂D₁₅⋊₈C₂ = D₈⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	4	D4:2D15:8C2	480,876
D₄⋊₂D₁₅⋊₉C₂ = D₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	4-	D4:2D15:9C2	480,877
D₄⋊₂D₁₅⋊₁₀C₂ = D₄.₅D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	4	D4:2D15:10C2	480,881
D₄⋊₂D₁₅⋊₁₁C₂ = D₄⋊₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	120	4	D4:2D15:11C2	480,1171
D₄⋊₂D₁₅⋊₁₂C₂ = D₄.₁₀D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	4-	D4:2D15:12C2	480,1177
D₄⋊₂D₁₅⋊₁₃C₂ = C₄○D₄×D₁₅	φ: trivial image	120	4	D4:2D15:13C2	480,1175

Non-split extensions G=N.Q with N=D₄⋊₂D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₁₅.₁C₂ = D₃₀.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	8-	D4:2D15.1C2	480,564
D₄⋊₂D₁₅.₂C₂ = SD₁₆⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂D₁₅	240	4-	D4:2D15.2C2	480,880

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