Extensions 1→N→G→Q→1 with N=D₃₀ and Q=Q₈

Direct product G=NxQ with N=D₃₀ and Q=Q₈

		d	ρ	Label	ID
C₂xQ₈xD₁₅		240		C2xQ8xD15	480,1172

Semidirect products G=N:Q with N=D₃₀ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀:₁Q₈ = D₃₀:Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₃₀	240		D30:1Q8	480,487
D₃₀:₂Q₈ = D₃₀:₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₃₀	240		D30:2Q8	480,495
D₃₀:₃Q₈ = D₃₀:₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₃₀	240		D30:3Q8	480,500
D₃₀:₄Q₈ = D₃₀:₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₃₀	240		D30:4Q8	480,505
D₃₀:₅Q₈ = D₃₀:₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:5Q8	480,861
D₃₀:₆Q₈ = D₃₀:₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:6Q8	480,862
D₃₀:₇Q₈ = D₃₀:₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:7Q8	480,911
D₃₀:₈Q₈ = D₃₀:₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:8Q8	480,453
D₃₀:₉Q₈ = D₃₀:₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:9Q8	480,459
D₃₀:₁₀Q₈ = D₃₀:₁₀Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:10Q8	480,466
D₃₀:₁₁Q₈ = C₂xD₁₅:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:11Q8	480,1082

Non-split extensions G=N.Q with N=D₃₀ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.₁Q₈ = D₃₀.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30.1Q8	480,480
D₃₀.₂Q₈ = D₃₀.₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₃₀	240		D30.2Q8	480,513
D₃₀.₃Q₈ = C₄:C₄xD₁₅	φ: trivial image	240		D30.3Q8	480,856

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