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		240	8	C3xD4.F5	480,1053

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) = D₁₂.₂F₅	φ: D₄.F₅/D₅⋊C₈ → C₂ ⊆ Aut C₃	240	8-	C3:1(D4.F5)	480,987
C₃⋊₂(D₄.F₅) = D₁₂.F₅	φ: D₄.F₅/C₄.F₅ → C₂ ⊆ Aut C₃	240	8-	C3:2(D4.F5)	480,989
C₃⋊₃(D₄.F₅) = C₅⋊C₈.D₆	φ: D₄.F₅/C₂×C₅⋊C₈ → C₂ ⊆ Aut C₃	240	8	C3:3(D4.F5)	480,1003
C₃⋊₄(D₄.F₅) = D₁₅⋊C₈⋊C₂	φ: D₄.F₅/C₂².F₅ → C₂ ⊆ Aut C₃	240	8	C3:4(D4.F5)	480,1005
C₃⋊₅(D₄.F₅) = Dic₁₀.Dic₃	φ: D₄.F₅/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	240	8	C3:5(D4.F5)	480,1066

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