Extensions 1→N→G→Q→1 with N=C₂²×C₁₀ and Q=C₆

Direct product G=N×Q with N=C₂²×C₁₀ and Q=C₆

		d	ρ	Label	ID
C₂³×C₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂²×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₀)⋊C₆ = C₂×D₅×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₀	30	6+	(C2^2xC10):C6	240,198
(C₂²×C₁₀)⋊₂C₆ = A₄×C₂×C₁₀	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₀	60		(C2^2xC10):2C6	240,203
(C₂²×C₁₀)⋊₃C₆ = D₄×C₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):3C6	240,186
(C₂²×C₁₀)⋊₄C₆ = C₆×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):4C6	240,164
(C₂²×C₁₀)⋊₅C₆ = D₅×C₂²×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):5C6	240,205

Non-split extensions G=N.Q with N=C₂²×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₀).C₆ = A₄×Dic₅	φ: C₆/C₁ → C₆ ⊆ Aut C₂²×C₁₀	60	6-	(C2^2xC10).C6	240,110
(C₂²×C₁₀).₂C₆ = A₄×C₂₀	φ: C₆/C₂ → C₃ ⊆ Aut C₂²×C₁₀	60	3	(C2^2xC10).2C6	240,152
(C₂²×C₁₀).₃C₆ = C₁₅×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10).3C6	240,82
(C₂²×C₁₀).₄C₆ = C₃×C₂³.D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10).4C6	240,48
(C₂²×C₁₀).₅C₆ = C₂×C₆×Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).5C6	240,163

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