Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₃⋊S₃

Direct product G=N×Q with N=D₁₀ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₂×D₅×C₃⋊S₃		90		C2xD5xC3:S3	360,152

Semidirect products G=N:Q with N=D₁₀ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₃⋊S₃) = C₃₀.₁₂D₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₁₀	180		D10:1(C3:S3)	360,68
D₁₀⋊₂(C₃⋊S₃) = C₃²⋊₇D₂₀	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₁₀	180		D10:2(C3:S3)	360,69

Non-split extensions G=N.Q with N=D₁₀ and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.(C₃⋊S₃) = C₂×C₃²⋊₃F₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₁₀	90		D10.(C3:S3)	360,147
D₁₀.₂(C₃⋊S₃) = D₅×C₃⋊Dic₃	φ: trivial image	180		D10.2(C3:S3)	360,65

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Extensions 1→N→G→Q→1 with N=D10 and Q=C3⋊S3