Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₂₀

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₂₀

		d	ρ	Label	ID
C₂₀×C₃⋊D₄		240		C20xC3:D4	480,807

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊C₂₀ = C₅×Dic₃⋊₄D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240		C3:D4:C20	480,760

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.C₂₀ = C₅×D₁₂.C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240	4	C3:D4.C20	480,786
C₃⋊D₄.₂C₂₀ = C₅×C₈○D₁₂	φ: trivial image	240	2	C3:D4.2C20	480,780

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=C20