Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×C₃₀

Direct product G=N×Q with N=C₈ and Q=C₂×C₃₀

		d	ρ	Label	ID
C₂²×C₁₂₀		480		C2^2xC120	480,934

Semidirect products G=N:Q with N=C₈ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₂×C₃₀) = C₁₅×C₈⋊C₂²	φ: C₂×C₃₀/C₁₅ → C₂² ⊆ Aut C₈	120	4	C8:(C2xC30)	480,941
C₈⋊₂(C₂×C₃₀) = D₈×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:2(C2xC30)	480,937
C₈⋊₃(C₂×C₃₀) = SD₁₆×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:3(C2xC30)	480,938
C₈⋊₄(C₂×C₃₀) = M₄(2)×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240		C8:4(C2xC30)	480,935

Non-split extensions G=N.Q with N=C₈ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×C₃₀) = C₁₅×C₈.C₂²	φ: C₂×C₃₀/C₁₅ → C₂² ⊆ Aut C₈	240	4	C8.(C2xC30)	480,942
C₈.₂(C₂×C₃₀) = C₁₅×D₁₆	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.2(C2xC30)	480,214
C₈.₃(C₂×C₃₀) = C₁₅×SD₃₂	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.3(C2xC30)	480,215
C₈.₄(C₂×C₃₀) = C₁₅×Q₃₂	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	480	2	C8.4(C2xC30)	480,216
C₈.₅(C₂×C₃₀) = Q₁₆×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	480		C8.5(C2xC30)	480,939
C₈.₆(C₂×C₃₀) = C₁₅×C₄○D₈	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.6(C2xC30)	480,940
C₈.₇(C₂×C₃₀) = C₁₅×C₈○D₄	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₈	240	2	C8.7(C2xC30)	480,936
C₈.₈(C₂×C₃₀) = C₁₅×M₅(2)	central extension (φ=1)	240	2	C8.8(C2xC30)	480,213

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