Extensions 1→N→G→Q→1 with N=D₅ and Q=C₆.D₄

Direct product G=N×Q with N=D₅ and Q=C₆.D₄

		d	ρ	Label	ID
D₅×C₆.D₄		120		D5xC6.D4	480,623

Semidirect products G=N:Q with N=D₅ and Q=C₆.D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₆.D₄) = C₂×D₁₀.D₆	φ: C₆.D₄/C₂²×C₆ → C₂ ⊆ Out D₅	120		D5:(C6.D4)	480,1072

Non-split extensions G=N.Q with N=D₅ and Q=C₆.D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₆.D₄) = D₁₀.₂₀D₁₂	φ: C₆.D₄/C₂×Dic₃ → C₂ ⊆ Out D₅	120		D5.(C6.D4)	480,243

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=C6.D4