Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₆₀

Direct product G=N×Q with N=C₂×C₄ and Q=C₆₀

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₆₀ = C₁₅×C₂³⋊C₄	φ: C₆₀/C₁₅ → C₄ ⊆ Aut C₂×C₄	120	4	(C2xC4):C60	480,202
(C₂×C₄)⋊₂C₆₀ = C₁₅×C₂.C₄²	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4):2C60	480,198
(C₂×C₄)⋊₃C₆₀ = C₄⋊C₄×C₃₀	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4):3C60	480,921
(C₂×C₄)⋊₄C₆₀ = C₁₅×C₄²⋊C₂	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4):4C60	480,922

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₆₀ = C₁₅×C₄.₁₀D₄	φ: C₆₀/C₁₅ → C₄ ⊆ Aut C₂×C₄	240	4	(C2xC4).C60	480,204
(C₂×C₄).₂C₆₀ = C₁₅×C₈⋊C₄	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4).2C60	480,200
(C₂×C₄).₃C₆₀ = C₁₅×C₂²⋊C₈	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).3C60	480,201
(C₂×C₄).₄C₆₀ = C₁₅×C₄⋊C₈	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4).4C60	480,208
(C₂×C₄).₅C₆₀ = C₁₅×M₅(2)	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	240	2	(C2xC4).5C60	480,213
(C₂×C₄).₆C₆₀ = M₄(2)×C₃₀	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).6C60	480,935

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