Extensions 1→N→G→Q→1 with N=D₁₅⋊Q₈ and Q=C₂

Direct product G=N×Q with N=D₁₅⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₅⋊Q₈		240		C2xD15:Q8	480,1082

Semidirect products G=N:Q with N=D₁₅⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₅⋊Q₈⋊₁C₂ = Dic₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	120	8+	D15:Q8:1C2	480,563
D₁₅⋊Q₈⋊₂C₂ = D₃₀.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	8-	D15:Q8:2C2	480,564
D₁₅⋊Q₈⋊₃C₂ = C₆₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	8+	D15:Q8:3C2	480,588
D₁₅⋊Q₈⋊₄C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	8-	D15:Q8:4C2	480,1096
D₁₅⋊Q₈⋊₅C₂ = D₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	120	8+	D15:Q8:5C2	480,1100
D₁₅⋊Q₈⋊₆C₂ = C₃₀.₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	8+	D15:Q8:6C2	480,1105
D₁₅⋊Q₈⋊₇C₂ = S₃×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	120	8-	D15:Q8:7C2	480,1107
D₁₅⋊Q₈⋊₈C₂ = C₄₀⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	120	4	D15:Q8:8C2	480,331
D₁₅⋊Q₈⋊₉C₂ = D₃₀.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	4	D15:Q8:9C2	480,354
D₁₅⋊Q₈⋊₁₀C₂ = D₃₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	4	D15:Q8:10C2	480,356
D₁₅⋊Q₈⋊₁₁C₂ = D₂₀.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	4	D15:Q8:11C2	480,1076
D₁₅⋊Q₈⋊₁₂C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	4	D15:Q8:12C2	480,1080
D₁₅⋊Q₈⋊₁₃C₂ = D₂₀⋊₂₄D₆	φ: trivial image	120	4	D15:Q8:13C2	480,1092

Non-split extensions G=N.Q with N=D₁₅⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₅⋊Q₈.₁C₂ = D₁₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	8-	D15:Q8.1C2	480,587
D₁₅⋊Q₈.₂C₂ = Dic₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₅⋊Q₈	240	4	D15:Q8.2C2	480,340

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