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

Direct product G=NxQ with N=D₄ and Q=C₃:S₃

		d	ρ	Label	ID
D₄xC₃:S₃		36		D4xC3:S3	144,172

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₃:S₃) = C₃²:₇D₈	φ: C₃:S₃/C₃² → C₂ ⊆ Out D₄	72		D4:(C3:S3)	144,96
D₄:₂(C₃:S₃) = C₁₂.D₆	φ: trivial image	72		D4:2(C3:S3)	144,173

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) = C₃²:₉SD₁₆	φ: C₃:S₃/C₃² → C₂ ⊆ Out D₄	72		D4.(C3:S3)	144,97

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