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

Direct product G=N×Q with N=C₃²⋊C₄ and Q=D₄

		d	ρ	Label	ID
D₄×C₃²⋊C₄		24	8+	D4xC3^2:C4	288,936

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊₁D₄ = C₄⋊S₃≀C₂	φ: D₄/C₄ → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4:1D4	288,879
C₃²⋊C₄⋊₂D₄ = C₆²⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4:2D4	288,890

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.₁D₄ = C₂.AΓL₁(𝔽₉)	φ: D₄/C₂ → C₂² ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4.1D4	288,841
C₃²⋊C₄.₂D₄ = PSU₃(𝔽₂)⋊C₄	φ: D₄/C₂ → C₂² ⊆ Out C₃²⋊C₄	36	8	C3^2:C4.2D4	288,842
C₃²⋊C₄.₃D₄ = C₂×AΓL₁(𝔽₉)	φ: D₄/C₂ → C₂² ⊆ Out C₃²⋊C₄	18	8+	C3^2:C4.3D4	288,1027
C₃²⋊C₄.₄D₄ = C₄⋊F₉	φ: D₄/C₄ → C₂ ⊆ Out C₃²⋊C₄	36	8	C3^2:C4.4D4	288,864
C₃²⋊C₄.₅D₄ = C₄⋊PSU₃(𝔽₂)	φ: D₄/C₄ → C₂ ⊆ Out C₃²⋊C₄	36	8	C3^2:C4.5D4	288,893
C₃²⋊C₄.₆D₄ = C₂²⋊F₉	φ: D₄/C₂² → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4.6D4	288,867
C₃²⋊C₄.₇D₄ = C₆²⋊Q₈	φ: D₄/C₂² → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4.7D4	288,895

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