Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=C₂³

Direct product G=N×Q with N=C₃×A₄ and Q=C₂³

		d	ρ	Label	ID
A₄×C₂²×C₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=C₃×A₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊C₂³ = C₂×S₃×S₄	φ: C₂³/C₂ → C₂² ⊆ Out C₃×A₄	18	6+	(C3xA4):C2^3	288,1028
(C₃×A₄)⋊₂C₂³ = C₂×C₆×S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃×A₄	36		(C3xA4):2C2^3	288,1033
(C₃×A₄)⋊₃C₂³ = C₂²×C₃⋊S₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃×A₄	36		(C3xA4):3C2^3	288,1034
(C₃×A₄)⋊₄C₂³ = C₂²×S₃×A₄	φ: C₂³/C₂² → C₂ ⊆ Out C₃×A₄	36		(C3xA4):4C2^3	288,1037

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁