Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₄₀

Direct product G=N×Q with N=C₃ and Q=C₂²×C₄₀

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

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×C₄₀) = S₃×C₂×C₄₀	φ: C₂²×C₄₀/C₂×C₄₀ → C₂ ⊆ Aut C₃	240		C3:1(C2^2xC40)	480,778
C₃⋊₂(C₂²×C₄₀) = C₂×C₁₀×C₃⋊C₈	φ: C₂²×C₄₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	480		C3:2(C2^2xC40)	480,799

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁