Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₈₀

Direct product G=N×Q with N=C₃ and Q=C₂×C₈₀

		d	ρ	Label	ID
C₂×C₂₄₀		480		C2xC240	480,212

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₈₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₈₀) = S₃×C₈₀	φ: C₂×C₈₀/C₈₀ → C₂ ⊆ Aut C₃	240	2	C3:1(C2xC80)	480,116
C₃⋊₂(C₂×C₈₀) = C₁₀×C₃⋊C₁₆	φ: C₂×C₈₀/C₂×C₄₀ → C₂ ⊆ Aut C₃	480		C3:2(C2xC80)	480,130

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁