Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃xS₃

Direct product G=NxQ with N=D₄ and Q=C₃xS₃

		d	ρ	Label	ID
C₃xS₃xD₄		24	4	C3xS3xD4	144,162

Semidirect products G=N:Q with N=D₄ and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₃xS₃) = C₃xD₄:S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Out D₄	24	4	D4:(C3xS3)	144,80
D₄:₂(C₃xS₃) = C₃xD₄:₂S₃	φ: trivial image	24	4	D4:2(C3xS3)	144,163

Non-split extensions G=N.Q with N=D₄ and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃xS₃) = C₃xD₄.S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Out D₄	24	4	D4.(C3xS3)	144,81

Extensions 1→N→G→Q→1 with N=D4 and Q=C3xS3