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

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

		d	ρ	Label	ID
C₆×D₂₀		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 = C₃×D₄₀	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	2	D20:1C6	240,36
D₂₀⋊₂C₆ = C₃×D₄⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20:2C6	240,44
D₂₀⋊₃C₆ = C₃×D₄×D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	60	4	D20:3C6	240,159
D₂₀⋊₄C₆ = C₃×Q₈⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20:4C6	240,162
D₂₀⋊₅C₆ = C₃×C₄○D₂₀	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 = C₃×C₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	2	D20.1C6	240,35
D₂₀.₂C₆ = C₃×Q₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₂₀	120	4	D20.2C6	240,46

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