Extensions 1→N→G→Q→1 with N=A₄ and Q=SD₁₆

Direct product G=N×Q with N=A₄ and Q=SD₁₆

		d	ρ	Label	ID
A₄×SD₁₆		24	6	A4xSD16	192,1015

Semidirect products G=N:Q with N=A₄ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊₁SD₁₆ = C₈⋊₂S₄	φ: SD₁₆/C₈ → C₂ ⊆ Out A₄	24	6	A4:1SD16	192,960
A₄⋊₂SD₁₆ = A₄⋊SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Out A₄	24	6	A4:2SD16	192,973
A₄⋊₃SD₁₆ = Q₈⋊₃S₄	φ: SD₁₆/Q₈ → C₂ ⊆ Out A₄	24	6	A4:3SD16	192,976

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁