Extensions 1→N→G→Q→1 with N=C₅xC₁₀ and Q=C₆

Direct product G=NxQ with N=C₅xC₁₀ and Q=C₆

		d	ρ	Label	ID
C₁₀xC₃₀		300		C10xC30	300,49

Semidirect products G=N:Q with N=C₅xC₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀):C₆ = C₂xC₅²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₀	30	6+	(C5xC10):C6	300,27
(C₅xC₁₀):₂C₆ = C₂²xC₅²:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅xC₁₀	60		(C5xC10):2C6	300,41
(C₅xC₁₀):₃C₆ = D₅xC₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₀	60	2	(C5xC10):3C6	300,44
(C₅xC₁₀):₄C₆ = C₆xC₅:D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₀	150		(C5xC10):4C6	300,45

Non-split extensions G=N.Q with N=C₅xC₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀).C₆ = C₅²:₂C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₀	60	6-	(C5xC10).C6	300,14
(C₅xC₁₀).₂C₆ = C₄xC₅²:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅xC₁₀	60	3	(C5xC10).2C6	300,15
(C₅xC₁₀).₃C₆ = C₁₅xDic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₀	60	2	(C5xC10).3C6	300,16
(C₅xC₁₀).₄C₆ = C₃xC₅²:₆C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₀	300		(C5xC10).4C6	300,17

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