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

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

		d	ρ	Label	ID
C₂×Q₈×D₁₅		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 = C₂×D₁₅⋊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⋊C₄×D₁₅	φ: trivial image	240		D30.3Q8	480,856

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