Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂₀

Direct product G=NxQ with N=C₂xC₆ and Q=C₂₀

		d	ρ	Label	ID
C₂²xC₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₂₀

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₆):₁C₂₀ = C₁₅xC₂²:C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	120	(C2xC6):1C20	240,82
(C₂xC₆):₂C₂₀ = C₅xC₆.D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	120	(C2xC6):2C20	240,64
(C₂xC₆):₃C₂₀ = Dic₃xC₂xC₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	240	(C2xC6):3C20	240,173

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).₁C₂₀ = C₁₅xM₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	120	2	(C2xC6).1C20	240,85
(C₂xC₆).₂C₂₀ = C₁₀xC₃:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	240		(C2xC6).2C20	240,54
(C₂xC₆).₃C₂₀ = C₅xC₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂xC₆	120	2	(C2xC6).3C20	240,55

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C20