Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×D₅

Direct product G=N×Q with N=C₃ and Q=C₄×D₅

		d	ρ	Label	ID
D₅×C₁₂		60	2	D5xC12	120,17

Semidirect products G=N:Q with N=C₃ and Q=C₄×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×D₅) = D₃₀.C₂	φ: C₄×D₅/Dic₅ → C₂ ⊆ Aut C₃	60	4+	C3:1(C4xD5)	120,10
C₃⋊₂(C₄×D₅) = C₄×D₁₅	φ: C₄×D₅/C₂₀ → C₂ ⊆ Aut C₃	60	2	C3:2(C4xD5)	120,27
C₃⋊₃(C₄×D₅) = D₅×Dic₃	φ: C₄×D₅/D₁₀ → C₂ ⊆ Aut C₃	60	4-	C3:3(C4xD5)	120,8

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