Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₁₀

Direct product G=N×Q with N=C₃₀ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₃₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₁₀ = C₁₀×D₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30:1C10	300,47
C₃₀⋊₂C₁₀ = D₅×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30:2C10	300,44
C₃₀⋊₃C₁₀ = S₃×C₅×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	150		C30:3C10	300,46

Non-split extensions G=N.Q with N=C₃₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₁₀ = C₅×Dic₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30.1C10	300,19
C₃₀.₂C₁₀ = C₁₅×Dic₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	60	2	C30.2C10	300,16
C₃₀.₃C₁₀ = Dic₃×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	300	2	C30.3C10	300,1
C₃₀.₄C₁₀ = S₃×C₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	150	2	C30.4C10	300,10
C₃₀.₅C₁₀ = Dic₃×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃₀	300		C30.5C10	300,18

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