Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃xC₃:S₃

Direct product G=NxQ with N=D₄ and Q=C₃xC₃:S₃

		d	ρ	Label	ID
C₃xD₄xC₃:S₃		72		C3xD4xC3:S3	432,714

Semidirect products G=N:Q with N=D₄ and Q=C₃xC₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₃xC₃:S₃) = C₃xC₃²:₇D₈	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Out D₄	72		D4:(C3xC3:S3)	432,491
D₄:₂(C₃xC₃:S₃) = C₃xC₁₂.D₆	φ: trivial image	72		D4:2(C3xC3:S3)	432,715

Non-split extensions G=N.Q with N=D₄ and Q=C₃xC₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃xC₃:S₃) = C₃xC₃²:₉SD₁₆	φ: C₃xC₃:S₃/C₃³ → C₂ ⊆ Out D₄	72		D4.(C3xC3:S3)	432,492

Extensions 1→N→G→Q→1 with N=D4 and Q=C3xC3:S3