Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=D₅

Direct product G=N×Q with N=C₃⋊D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₃⋊D₄		60	4	D5xC3:D4	240,149

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁D₅ = C₃₀.C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊D₄	120	4-	C3:D4:1D5	240,141
C₃⋊D₄⋊₂D₅ = D₁₀⋊D₆	φ: D₅/C₅ → C₂ ⊆ Out C₃⋊D₄	60	4+	C3:D4:2D5	240,151
C₃⋊D₄⋊₃D₅ = Dic₃.D₁₀	φ: trivial image	120	4	C3:D4:3D5	240,143

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁