Extensions 1→N→G→Q→1 with N=C₅×C₁₀ and Q=C₆

Direct product G=N×Q with N=C₅×C₁₀ and Q=C₆

		d	ρ	Label	ID
C₁₀×C₃₀		300		C10xC30	300,49

Semidirect products G=N:Q with N=C₅×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀)⋊C₆ = C₂×C₅²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₀	30	6+	(C5xC10):C6	300,27
(C₅×C₁₀)⋊₂C₆ = C₂²×C₅²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅×C₁₀	60		(C5xC10):2C6	300,41
(C₅×C₁₀)⋊₃C₆ = D₅×C₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₀	60	2	(C5xC10):3C6	300,44
(C₅×C₁₀)⋊₄C₆ = C₆×C₅⋊D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₀	150		(C5xC10):4C6	300,45

Non-split extensions G=N.Q with N=C₅×C₁₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₀).C₆ = C₅²⋊₂C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₀	60	6-	(C5xC10).C6	300,14
(C₅×C₁₀).₂C₆ = C₄×C₅²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅×C₁₀	60	3	(C5xC10).2C6	300,15
(C₅×C₁₀).₃C₆ = C₁₅×Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₀	60	2	(C5xC10).3C6	300,16
(C₅×C₁₀).₄C₆ = C₃×C₅²⋊₆C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₀	300		(C5xC10).4C6	300,17

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