Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₁₀

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₃⋊D₄		120		C10xC3:D4	240,174

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁C₁₀ = C₅×S₃×D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊D₄	60	4	C3:D4:1C10	240,169
C₃⋊D₄⋊₂C₁₀ = C₅×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊D₄	120	4	C3:D4:2C10	240,170
C₃⋊D₄⋊₃C₁₀ = C₅×C₄○D₁₂	φ: trivial image	120	2	C3:D4:3C10	240,168

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁