Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×F₅

Direct product G=N×Q with N=C₃ and Q=D₄×F₅

		d	ρ	Label	ID
C₃×D₄×F₅		60	8	C3xD4xF5	480,1054

Semidirect products G=N:Q with N=C₃ and Q=D₄×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×F₅) = F₅×D₁₂	φ: D₄×F₅/C₄×F₅ → C₂ ⊆ Aut C₃	60	8+	C3:1(D4xF5)	480,995
C₃⋊₂(D₄×F₅) = D₆₀⋊₃C₄	φ: D₄×F₅/C₄⋊F₅ → C₂ ⊆ Aut C₃	60	8+	C3:2(D4xF5)	480,997
C₃⋊₃(D₄×F₅) = C₃⋊D₄⋊F₅	φ: D₄×F₅/C₂²⋊F₅ → C₂ ⊆ Aut C₃	60	8	C3:3(D4xF5)	480,1012
C₃⋊₄(D₄×F₅) = D₄×C₃⋊F₅	φ: D₄×F₅/D₄×D₅ → C₂ ⊆ Aut C₃	60	8	C3:4(D4xF5)	480,1067
C₃⋊₅(D₄×F₅) = F₅×C₃⋊D₄	φ: D₄×F₅/C₂²×F₅ → C₂ ⊆ Aut C₃	60	8	C3:5(D4xF5)	480,1010

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