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

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

		d	ρ	Label	ID
C₂×C₃₀		60		C2xC30	60,13

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₂ = D₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	30	2+	C30:1C2	60,12
C₃₀⋊₂C₂ = C₆×D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	30	2	C30:2C2	60,10
C₃₀⋊₃C₂ = S₃×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	30	2	C30:3C2	60,11

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₂ = Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	60	2-	C30.1C2	60,3
C₃₀.₂C₂ = C₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	60	2	C30.2C2	60,2
C₃₀.₃C₂ = C₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃₀	60	2	C30.3C2	60,1

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