Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=C₂₀

Direct product G=N×Q with N=C₃⋊S₃ and Q=C₂₀

		d	ρ	Label	ID
C₃⋊S₃×C₂₀		180		C3:S3xC20	360,106

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊₁C₂₀ = C₅×C₆.D₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊S₃	60	4	C3:S3:1C20	360,73
C₃⋊S₃⋊₂C₂₀ = C₁₀×C₃²⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊S₃	60	4	C3:S3:2C20	360,148

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.C₂₀ = C₅×F₉	φ: C₂₀/C₅ → C₄ ⊆ Out C₃⋊S₃	45	8	C3:S3.C20	360,123

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C20