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
C₂×S₃×C₃⋊S₃		36		C2xS3xC3:S3	216,171

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) = C₃³⋊₆D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₆	72		D6:1(C3:S3)	216,127
D₆⋊₂(C₃⋊S₃) = C₃³⋊₇D₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out D₆	36		D6:2(C3:S3)	216,128

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) = S₃×C₃⋊Dic₃	φ: trivial image	72		D6.(C3:S3)	216,124

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