Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃²:C₄

Direct product G=NxQ with N=D₄ and Q=C₃²:C₄

		d	ρ	Label	ID
D₄xC₃²:C₄		24	8+	D4xC3^2:C4	288,936

Semidirect products G=N:Q with N=D₄ and Q=C₃²:C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₃²:C₄) = C₃:S₃.₅D₈	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Out D₄	24	8+	D4:1(C3^2:C4)	288,430
D₄:₂(C₃²:C₄) = C₃²:₆C₄wrC₂	φ: C₃²:C₄/C₃:S₃ → C₂ ⊆ Out D₄	48	8-	D4:2(C3^2:C4)	288,431

Non-split extensions G=N.Q with N=D₄ and Q=C₃²:C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃²:C₄) = C₆².(C₂xC₄)	φ: trivial image	48	8-	D4.(C3^2:C4)	288,935

Extensions 1→N→G→Q→1 with N=D4 and Q=C32:C4