Extensions 1→N→G→Q→1 with N=C₅×C₃₀ and Q=C₂

Direct product G=N×Q with N=C₅×C₃₀ and Q=C₂

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

Semidirect products G=N:Q with N=C₅×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₃₀)⋊₁C₂ = C₂×C₅⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	150		(C5xC30):1C2	300,48
(C₅×C₃₀)⋊₂C₂ = C₁₀×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	60	2	(C5xC30):2C2	300,47
(C₅×C₃₀)⋊₃C₂ = D₅×C₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	60	2	(C5xC30):3C2	300,44
(C₅×C₃₀)⋊₄C₂ = C₆×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	150		(C5xC30):4C2	300,45
(C₅×C₃₀)⋊₅C₂ = S₃×C₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	150		(C5xC30):5C2	300,46

Non-split extensions G=N.Q with N=C₅×C₃₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₃₀).₁C₂ = C₃₀.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	300		(C5xC30).1C2	300,20
(C₅×C₃₀).₂C₂ = C₅×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	60	2	(C5xC30).2C2	300,19
(C₅×C₃₀).₃C₂ = C₁₅×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	60	2	(C5xC30).3C2	300,16
(C₅×C₃₀).₄C₂ = C₃×C₅²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	300		(C5xC30).4C2	300,17
(C₅×C₃₀).₅C₂ = Dic₃×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₅×C₃₀	300		(C5xC30).5C2	300,18

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