Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.F₅

Direct product G=N×Q with N=C₃ and Q=C₂³.F₅

		d	ρ	Label	ID
C₃×C₂³.F₅		120	4	C3xC2^3.F5	480,293

Semidirect products G=N:Q with N=C₃ and Q=C₂³.F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.F₅) = Dic₅.D₁₂	φ: C₂³.F₅/C₂².F₅ → C₂ ⊆ Aut C₃	120	8+	C3:1(C2^3.F5)	480,250
C₃⋊₂(C₂³.F₅) = C₅⋊(C₁₂.D₄)	φ: C₂³.F₅/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120	4	C3:2(C2^3.F5)	480,318

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