Extensions 1→N→G→Q→1 with N=C₃²⋊C₄ and Q=D₆

Direct product G=N×Q with N=C₃²⋊C₄ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×C₃²⋊C₄		24	8+	C2xS3xC3^2:C4	432,753

Semidirect products G=N:Q with N=C₃²⋊C₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊₁D₆ = S₃×S₃≀C₂	φ: D₆/S₃ → C₂ ⊆ Out C₃²⋊C₄	12	8+	C3^2:C4:1D6	432,741
C₃²⋊C₄⋊₂D₆ = C₂×C₃²⋊₂D₁₂	φ: D₆/C₆ → C₂ ⊆ Out C₃²⋊C₄	24	8+	C3^2:C4:2D6	432,756

Non-split extensions G=N.Q with N=C₃²⋊C₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.₁D₆ = C₃³⋊SD₁₆	φ: D₆/C₃ → C₂² ⊆ Out C₃²⋊C₄	24	8	C3^2:C4.1D6	432,738
C₃²⋊C₄.₂D₆ = C₃³⋊₃SD₁₆	φ: D₆/C₃ → C₂² ⊆ Out C₃²⋊C₄	24	16+	C3^2:C4.2D6	432,739
C₃²⋊C₄.₃D₆ = F₉⋊S₃	φ: D₆/C₃ → C₂² ⊆ Out C₃²⋊C₄	24	16+	C3^2:C4.3D6	432,740
C₃²⋊C₄.₄D₆ = S₃×F₉	φ: D₆/S₃ → C₂ ⊆ Out C₃²⋊C₄	24	16+	C3^2:C4.4D6	432,736
C₃²⋊C₄.₅D₆ = S₃×PSU₃(𝔽₂)	φ: D₆/S₃ → C₂ ⊆ Out C₃²⋊C₄	24	16+	C3^2:C4.5D6	432,742
C₃²⋊C₄.₆D₆ = C₂×C₃⋊F₉	φ: D₆/C₆ → C₂ ⊆ Out C₃²⋊C₄	48	8	C3^2:C4.6D6	432,752
C₃²⋊C₄.₇D₆ = C₂×C₃³⋊Q₈	φ: D₆/C₆ → C₂ ⊆ Out C₃²⋊C₄	48	8	C3^2:C4.7D6	432,758

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