Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.₁₀D₄

Direct product G=N×Q with N=C₃ and Q=D₄.₁₀D₄

		d	ρ	Label	ID
C₃×D₄.₁₀D₄		48	4	C3xD4.10D4	192,889

Semidirect products G=N:Q with N=C₃ and Q=D₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.₁₀D₄) = D₁₂.₄D₄	φ: D₄.₁₀D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₃	48	8-	C3:1(D4.10D4)	192,311
C₃⋊₂(D₄.₁₀D₄) = Q₈.₁₄D₁₂	φ: D₄.₁₀D₄/C₄≀C₂ → C₂ ⊆ Aut C₃	48	4-	C3:2(D4.10D4)	192,385
C₃⋊₃(D₄.₁₀D₄) = D₁₂.₁₅D₄	φ: D₄.₁₀D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₃	48	4	C3:3(D4.10D4)	192,654
C₃⋊₄(D₄.₁₀D₄) = D₁₂.₄₀D₄	φ: D₄.₁₀D₄/C₈.C₂² → C₂ ⊆ Aut C₃	48	8-	C3:4(D4.10D4)	192,764
C₃⋊₅(D₄.₁₀D₄) = 2_-¹⁺⁴.₂S₃	φ: D₄.₁₀D₄/2_-¹⁺⁴ → C₂ ⊆ Aut C₃	48	8-	C3:5(D4.10D4)	192,805

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁