Extensions 1→N→G→Q→1 with N=C₂²xC₁₀ and Q=C₆

Direct product G=NxQ with N=C₂²xC₁₀ and Q=C₆

		d	ρ	Label	ID
C₂³xC₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂²xC₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀):C₆ = C₂xD₅xA₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₀	30	6+	(C2^2xC10):C6	240,198
(C₂²xC₁₀):₂C₆ = A₄xC₂xC₁₀	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₀	60		(C2^2xC10):2C6	240,203
(C₂²xC₁₀):₃C₆ = D₄xC₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):3C6	240,186
(C₂²xC₁₀):₄C₆ = C₆xC₅:D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):4C6	240,164
(C₂²xC₁₀):₅C₆ = D₅xC₂²xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10):5C6	240,205

Non-split extensions G=N.Q with N=C₂²xC₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀).C₆ = A₄xDic₅	φ: C₆/C₁ → C₆ ⊆ Aut C₂²xC₁₀	60	6-	(C2^2xC10).C6	240,110
(C₂²xC₁₀).₂C₆ = A₄xC₂₀	φ: C₆/C₂ → C₃ ⊆ Aut C₂²xC₁₀	60	3	(C2^2xC10).2C6	240,152
(C₂²xC₁₀).₃C₆ = C₁₅xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10).3C6	240,82
(C₂²xC₁₀).₄C₆ = C₃xC₂³.D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	120		(C2^2xC10).4C6	240,48
(C₂²xC₁₀).₅C₆ = C₂xC₆xDic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂²xC₁₀	240		(C2^2xC10).5C6	240,163

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