Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊D₁₀

Direct product G=N×Q with N=C₃ and Q=D₄⋊D₁₀

		d	ρ	Label	ID
C₃×D₄⋊D₁₀		120	4	C3xD4:D10	480,742

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊D₁₀) = C₆₀.₃₈D₄	φ: D₄⋊D₁₀/C₄.Dic₅ → C₂ ⊆ Aut C₃	120	4+	C3:1(D4:D10)	480,381
C₃⋊₂(D₄⋊D₁₀) = D₆₀.C₂²	φ: D₄⋊D₁₀/D₄⋊D₅ → C₂ ⊆ Aut C₃	120	8+	C3:2(D4:D10)	480,556
C₃⋊₃(D₄⋊D₁₀) = D₁₂⋊D₁₀	φ: D₄⋊D₁₀/Q₈⋊D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D4:D10)	480,580
C₃⋊₄(D₄⋊D₁₀) = C₆₀.₃₆D₄	φ: D₄⋊D₁₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:4(D4:D10)	480,374
C₃⋊₅(D₄⋊D₁₀) = D₄⋊D₃₀	φ: D₄⋊D₁₀/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	120	4+	C3:5(D4:D10)	480,914

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁