Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×S₃

Direct product G=N×Q with N=D₄ and Q=C₃×S₃

		d	ρ	Label	ID
C₃×S₃×D₄		24	4	C3xS3xD4	144,162

Semidirect products G=N:Q with N=D₄ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×S₃) = C₃×D₄⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₄	24	4	D4:(C3xS3)	144,80
D₄⋊₂(C₃×S₃) = C₃×D₄⋊₂S₃	φ: trivial image	24	4	D4:2(C3xS3)	144,163

Non-split extensions G=N.Q with N=D₄ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×S₃) = C₃×D₄.S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out D₄	24	4	D4.(C3xS3)	144,81

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×S3