Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=F₅

Direct product G=N×Q with N=C₃⋊S₃ and Q=F₅

		d	ρ	Label	ID
C₃⋊S₃×F₅		45		C3:S3xF5	360,127

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊₁F₅ = C₃⋊F₅⋊S₃	φ: F₅/D₅ → C₂ ⊆ Out C₃⋊S₃	30	8+	C3:S3:1F5	360,129
C₃⋊S₃⋊₂F₅ = C₃²⋊F₅⋊C₂	φ: F₅/D₅ → C₂ ⊆ Out C₃⋊S₃	30	8+	C3:S3:2F5	360,131

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.F₅ = C₅⋊F₉	φ: F₅/C₅ → C₄ ⊆ Out C₃⋊S₃	45	8	C3:S3.F5	360,125

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=F5