Extensions 1→N→G→Q→1 with N=Dic₁₅ and Q=Q₈

Direct product G=NxQ with N=Dic₁₅ and Q=Q₈

		d	ρ	Label	ID
Q₈xDic₁₅		480		Q8xDic15	480,910

Semidirect products G=N:Q with N=Dic₁₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅:₁Q₈ = Dic₁₅:₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₅	480		Dic15:1Q8	480,403
Dic₁₅:₂Q₈ = Dic₁₅:Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₅	480		Dic15:2Q8	480,405
Dic₁₅:₃Q₈ = C₄:Dic₃₀	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:3Q8	480,853
Dic₁₅:₄Q₈ = Dic₁₅:₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:4Q8	480,909
Dic₁₅:₅Q₈ = Dic₁₅:₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:5Q8	480,401
Dic₁₅:₆Q₈ = Dic₁₅:₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:6Q8	480,407
Dic₁₅:₇Q₈ = Dic₁₅:₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:7Q8	480,420
Dic₁₅:₈Q₈ = Dic₁₅:₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:8Q8	480,461
Dic₁₅:₉Q₈ = C₂₀:Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15:9Q8	480,546
Dic₁₅:₁₀Q₈ = Dic₁₅:₁₀Q₈	φ: trivial image	480		Dic15:10Q8	480,852

Non-split extensions G=N.Q with N=Dic₁₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₅.₁Q₈ = Dic₁₅.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₅	480		Dic15.1Q8	480,412
Dic₁₅.₂Q₈ = Dic₁₅.₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₅	480		Dic15.2Q8	480,415
Dic₁₅.₃Q₈ = Dic₁₅.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15.3Q8	480,854
Dic₁₅.₄Q₈ = Dic₁₅.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₅	480		Dic15.4Q8	480,458

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