Extensions 1→N→G→Q→1 with N=D₂₀ and Q=C₆

Direct product G=NxQ with N=D₂₀ and Q=C₆

		d	ρ	Label	ID
C₆xD₂₀		120		C6xD20	240,157

Semidirect products G=N:Q with N=D₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀:₁C₆ = C₃xD₄₀	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	2	D20:1C6	240,36
D₂₀:₂C₆ = C₃xD₄:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20:2C6	240,44
D₂₀:₃C₆ = C₃xD₄xD₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	60	4	D20:3C6	240,159
D₂₀:₄C₆ = C₃xQ₈:₂D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20:4C6	240,162
D₂₀:₅C₆ = C₃xC₄oD₂₀	φ: trivial image	120	2	D20:5C6	240,158

Non-split extensions G=N.Q with N=D₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₆ = C₃xC₄₀:C₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	2	D20.1C6	240,35
D₂₀.₂C₆ = C₃xQ₈:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20.2C6	240,46

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