Extensions 1→N→G→Q→1 with N=D₆ and Q=D₂₀

Direct product G=N×Q with N=D₆ and Q=D₂₀

		d	ρ	Label	ID
C₂×S₃×D₂₀		120		C2xS3xD20	480,1088

Semidirect products G=N:Q with N=D₆ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₂₀ = D₆⋊D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:1D20	480,530
D₆⋊₂D₂₀ = C₆₀⋊₄D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:2D20	480,532
D₆⋊₃D₂₀ = C₆₀⋊₆D₄	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240		D6:3D20	480,536
D₆⋊₄D₂₀ = D₆⋊₄D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	120		D6:4D20	480,550
D₆⋊₅D₂₀ = D₃₀⋊₅D₄	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	120		D6:5D20	480,552

Non-split extensions G=N.Q with N=D₆ and Q=D₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₂₀ = D₆.₁D₂₀	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.1D20	480,348
D₆.₂D₂₀ = D₄₀⋊₇S₃	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240	4-	D6.2D20	480,349
D₆.₃D₂₀ = D₁₂₀⋊₅C₂	φ: D₂₀/C₂₀ → C₂ ⊆ Out D₆	240	4+	D6.3D20	480,351
D₆.₄D₂₀ = C₄₀⋊₁D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	120	4+	D6.4D20	480,329
D₆.₅D₂₀ = D₄₀⋊S₃	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	120	4	D6.5D20	480,330
D₆.₆D₂₀ = Dic₂₀⋊S₃	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	240	4	D6.6D20	480,339
D₆.₇D₂₀ = C₄₀.₂D₆	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	240	4-	D6.7D20	480,350
D₆.₈D₂₀ = D₆.D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	240		D6.8D20	480,503
D₆.₉D₂₀ = D₆.₉D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Out D₆	240		D6.9D20	480,533
D₆.₁₀D₂₀ = S₃×C₄₀⋊C₂	φ: trivial image	120	4	D6.10D20	480,327
D₆.₁₁D₂₀ = S₃×D₄₀	φ: trivial image	120	4+	D6.11D20	480,328
D₆.₁₂D₂₀ = S₃×Dic₂₀	φ: trivial image	240	4-	D6.12D20	480,338
D₆.₁₃D₂₀ = S₃×C₄⋊Dic₅	φ: trivial image	240		D6.13D20	480,502
D₆.₁₄D₂₀ = S₃×D₁₀⋊C₄	φ: trivial image	120		D6.14D20	480,548

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