Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₆

		d	ρ	Label	ID
C₂²×C₃₀		120		C2^2xC30	120,47

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊C₆ = D₅×A₄	φ: C₆/C₁ → C₆ ⊆ Aut C₂×C₁₀	20	6+	(C2xC10):C6	120,39
(C₂×C₁₀)⋊₂C₆ = C₁₀×A₄	φ: C₆/C₂ → C₃ ⊆ Aut C₂×C₁₀	30	3	(C2xC10):2C6	120,43
(C₂×C₁₀)⋊₃C₆ = D₄×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₀	60	2	(C2xC10):3C6	120,32
(C₂×C₁₀)⋊₄C₆ = C₃×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₀	60	2	(C2xC10):4C6	120,20
(C₂×C₁₀)⋊₅C₆ = D₅×C₂×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₀	60		(C2xC10):5C6	120,44

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).C₆ = C₆×Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₁₀	120		(C2xC10).C6	120,19

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