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	480,291

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) = D₁₀.D₁₂	φ: C₂³⋊F₅/C₂²⋊F₅ → C₂ ⊆ Aut C₃	120	8-	C3:1(C2^3:F5)	480,248
C₃⋊₂(C₂³⋊F₅) = C₃⋊(C₂³⋊F₅)	φ: C₂³⋊F₅/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120	4	C3:2(C2^3:F5)	480,316

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