Extensions 1→N→G→Q→1 with N=A₄⋊C₄ and Q=C₆

Direct product G=N×Q with N=A₄⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×A₄⋊C₄		72		C6xA4:C4	288,905

Semidirect products G=N:Q with N=A₄⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄⋊C₆ = C₃×A₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out A₄⋊C₄	36	6	A4:C4:C6	288,906
A₄⋊C₄⋊₂C₆ = C₁₂×S₄	φ: trivial image	36	3	A4:C4:2C6	288,897

Non-split extensions G=N.Q with N=A₄⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄.C₆ = C₃×A₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out A₄⋊C₄	72	6	A4:C4.C6	288,896

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=C6