Extensions 1→N→G→Q→1 with N=C₂²xC₆ and Q=C₂₀

Direct product G=NxQ with N=C₂²xC₆ and Q=C₂₀

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂²xC₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆):₁C₂₀ = C₁₅xC₂³:C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂²xC₆	120	4	(C2^2xC6):1C20	480,202
(C₂²xC₆):₂C₂₀ = C₅xC₂³.₇D₆	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂²xC₆	120	4	(C2^2xC6):2C20	480,153
(C₂²xC₆):₃C₂₀ = C₂²:C₄xC₃₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6):3C20	480,920
(C₂²xC₆):₄C₂₀ = C₁₀xC₆.D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6):4C20	480,831
(C₂²xC₆):₅C₂₀ = Dic₃xC₂²xC₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	480		(C2^2xC6):5C20	480,1163

Non-split extensions G=N.Q with N=C₂²xC₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆).₁C₂₀ = C₁₅xC₄.D₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂²xC₆	120	4	(C2^2xC6).1C20	480,203
(C₂²xC₆).₂C₂₀ = C₅xC₁₂.D₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂²xC₆	120	4	(C2^2xC6).2C20	480,152
(C₂²xC₆).₃C₂₀ = C₁₅xC₂²:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6).3C20	480,201
(C₂²xC₆).₄C₂₀ = M₄(2)xC₃₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6).4C20	480,935
(C₂²xC₆).₅C₂₀ = C₅xC₁₂.₅₅D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6).5C20	480,149
(C₂²xC₆).₆C₂₀ = C₂xC₁₀xC₃:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	480		(C2^2xC6).6C20	480,799
(C₂²xC₆).₇C₂₀ = C₁₀xC₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂²xC₆	240		(C2^2xC6).7C20	480,800

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