Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²⋊SD₁₆

Direct product G=N×Q with N=C₃ and Q=C₂²⋊SD₁₆

		d	ρ	Label	ID
C₃×C₂²⋊SD₁₆		48		C3xC2^2:SD16	192,883

Semidirect products G=N:Q with N=C₃ and Q=C₂²⋊SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²⋊SD₁₆) = D₁₂.₃₁D₄	φ: C₂²⋊SD₁₆/C₂²⋊C₈ → C₂ ⊆ Aut C₃	48		C3:1(C2^2:SD16)	192,290
C₃⋊₂(C₂²⋊SD₁₆) = D₆⋊₅SD₁₆	φ: C₂²⋊SD₁₆/D₄⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C2^2:SD16)	192,335
C₃⋊₃(C₂²⋊SD₁₆) = D₁₂.₃₆D₄	φ: C₂²⋊SD₁₆/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	48		C3:3(C2^2:SD16)	192,605
C₃⋊₄(C₂²⋊SD₁₆) = D₆⋊₆SD₁₆	φ: C₂²⋊SD₁₆/C₂×SD₁₆ → C₂ ⊆ Aut C₃	48		C3:4(C2^2:SD16)	192,728
C₃⋊₅(C₂²⋊SD₁₆) = (C₃×D₄).₃₁D₄	φ: C₂²⋊SD₁₆/C₂²×D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2^2:SD16)	192,777

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁