Extensions 1→N→G→Q→1 with N=C₃.A₄ and Q=D₆

Direct product G=N×Q with N=C₃.A₄ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×C₃.A₄		36	6	C2xS3xC3.A4	432,541

Semidirect products G=N:Q with N=C₃.A₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.A₄⋊₁D₆ = S₃×C₃.S₄	φ: D₆/S₃ → C₂ ⊆ Out C₃.A₄	36	12+	C3.A4:1D6	432,522
C₃.A₄⋊₂D₆ = C₂×C₉⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₃.A₄	54	6+	C3.A4:2D6	432,536
C₃.A₄⋊₃D₆ = C₂×C₃².₃S₄	φ: D₆/C₆ → C₂ ⊆ Out C₃.A₄	54		C3.A4:3D6	432,537

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁