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

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

		d	ρ	Label	ID
A₄×C₄⋊C₄		48		A4xC4:C4	192,995

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁A₄ = C₄○D₄⋊C₁₂	φ: trivial image	64		C4:C4.1A4	192,999
C₄⋊C₄.₂A₄ = SL₂(𝔽₃)⋊₆D₄	φ: trivial image	64		C4:C4.2A4	192,1005
C₄⋊C₄.₃A₄ = SL₂(𝔽₃)⋊₃Q₈	φ: trivial image	64		C4:C4.3A4	192,1006

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁