Extensions 1→N→G→Q→1 with N=D₆ and Q=Dic₁₀

Direct product G=N×Q with N=D₆ and Q=Dic₁₀

		d	ρ	Label	ID
C₂×S₃×Dic₁₀		240		C2xS3xDic10	480,1078

Semidirect products G=N:Q with N=D₆ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁Dic₁₀ = D₆⋊₁Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₆	240		D6:1Dic10	480,486
D₆⋊₂Dic₁₀ = D₆⋊₂Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₆	240		D6:2Dic10	480,493
D₆⋊₃Dic₁₀ = D₆⋊₃Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₆	240		D6:3Dic10	480,508
D₆⋊₄Dic₁₀ = D₆⋊₄Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Out D₆	240		D6:4Dic10	480,512
D₆⋊₅Dic₁₀ = D₆⋊Dic₁₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:5Dic10	480,428
D₆⋊₆Dic₁₀ = C₆₀.₄₅D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:6Dic10	480,441
D₆⋊₇Dic₁₀ = C₆₀.₄₆D₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:7Dic10	480,445

Non-split extensions G=N.Q with N=D₆ and Q=Dic₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁Dic₁₀ = S₃×C₁₀.D₄	φ: trivial image	240		D6.1Dic10	480,475
D₆.₂Dic₁₀ = S₃×C₄⋊Dic₅	φ: trivial image	240		D6.2Dic10	480,502

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁