Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₈

Direct product G=NxQ with N=D₃₀ and Q=C₈

		d	ρ	Label	ID
C₂xC₈xD₁₅		240		C2xC8xD15	480,864

Semidirect products G=N:Q with N=D₃₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀:₁C₈ = D₃₀:C₈	φ: C₈/C₂ → C₄ ⊆ Out D₃₀	240		D30:1C8	480,247
D₃₀:₂C₈ = C₂xD₁₅:C₈	φ: C₈/C₂ → C₄ ⊆ Out D₃₀	240		D30:2C8	480,1006
D₃₀:₃C₈ = D₃₀:₃C₈	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:3C8	480,180
D₃₀:₄C₈ = D₃₀:₄C₈	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:4C8	480,33
D₃₀:₅C₈ = C₂xD₁₅:₂C₈	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240		D30:5C8	480,365

Non-split extensions G=N.Q with N=D₃₀ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.₁C₈ = D₁₅:C₁₆	φ: C₈/C₂ → C₄ ⊆ Out D₃₀	240	8	D30.1C8	480,240
D₃₀.₂C₈ = D₃₀.C₈	φ: C₈/C₂ → C₄ ⊆ Out D₃₀	240	8	D30.2C8	480,242
D₃₀.₃C₈ = C₈₀:S₃	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240	2	D30.3C8	480,158
D₃₀.₄C₈ = D₁₅:₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240	4	D30.4C8	480,9
D₃₀.₅C₈ = D₃₀.₅C₈	φ: C₈/C₄ → C₂ ⊆ Out D₃₀	240	4	D30.5C8	480,12
D₃₀.₆C₈ = C₁₆xD₁₅	φ: trivial image	240	2	D30.6C8	480,157

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