Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃×S₃

Direct product G=N×Q with N=D₆ and Q=C₃×S₃

		d	ρ	Label	ID
S₃²×C₆		24	4	S3^2xC6	216,170

Semidirect products G=N:Q with N=D₆ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₃×S₃) = C₃×D₆⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₆	24	4	D6:1(C3xS3)	216,121
D₆⋊₂(C₃×S₃) = C₃×C₃⋊D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₆	24	4	D6:2(C3xS3)	216,122

Non-split extensions G=N.Q with N=D₆ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃×S₃) = C₃×S₃×Dic₃	φ: trivial image	24	4	D6.(C3xS3)	216,119

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Extensions 1→N→G→Q→1 with N=D6 and Q=C3×S3