Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₆₀

Direct product G=NxQ with N=C₂xC₄ and Q=C₆₀

		d	ρ	Label	ID
C₂xC₄xC₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):C₆₀ = C₁₅xC₂³:C₄	φ: C₆₀/C₁₅ → C₄ ⊆ Aut C₂xC₄	120	4	(C2xC4):C60	480,202
(C₂xC₄):₂C₆₀ = C₁₅xC₂.C₄²	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4):2C60	480,198
(C₂xC₄):₃C₆₀ = C₄:C₄xC₃₀	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4):3C60	480,921
(C₂xC₄):₄C₆₀ = C₁₅xC₄²:C₂	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4):4C60	480,922

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).C₆₀ = C₁₅xC₄.₁₀D₄	φ: C₆₀/C₁₅ → C₄ ⊆ Aut C₂xC₄	240	4	(C2xC4).C60	480,204
(C₂xC₄).₂C₆₀ = C₁₅xC₈:C₄	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4).2C60	480,200
(C₂xC₄).₃C₆₀ = C₁₅xC₂²:C₈	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).3C60	480,201
(C₂xC₄).₄C₆₀ = C₁₅xC₄:C₈	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4).4C60	480,208
(C₂xC₄).₅C₆₀ = C₁₅xM₅(2)	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	240	2	(C2xC4).5C60	480,213
(C₂xC₄).₆C₆₀ = M₄(2)xC₃₀	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).6C60	480,935

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