Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃xC₆

Direct product G=NxQ with N=D₄ and Q=C₃xC₆

		d	ρ	Label	ID
D₄xC₃xC₆		72		D4xC3xC6	144,179

Semidirect products G=N:Q with N=D₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:(C₃xC₆) = C₃²xD₈	φ: C₃xC₆/C₃² → C₂ ⊆ Out D₄	72		D4:(C3xC6)	144,106
D₄:₂(C₃xC₆) = C₃²xC₄oD₄	φ: trivial image	72		D4:2(C3xC6)	144,181

Non-split extensions G=N.Q with N=D₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃xC₆) = C₃²xSD₁₆	φ: C₃xC₆/C₃² → C₂ ⊆ Out D₄	72		D4.(C3xC6)	144,107

Extensions 1→N→G→Q→1 with N=D4 and Q=C3xC6