Extensions 1→N→G→Q→1 with N=C₄○D₂₀ and Q=C₆

Direct product G=N×Q with N=C₄○D₂₀ and Q=C₆

		d	ρ	Label	ID
C₆×C₄○D₂₀		240		C6xC4oD20	480,1138

Semidirect products G=N:Q with N=C₄○D₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₀⋊₁C₆ = C₃×D₄₀⋊₇C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	2	C4oD20:1C6	480,697
C₄○D₂₀⋊₂C₆ = C₃×C₈⋊D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20:2C6	480,701
C₄○D₂₀⋊₃C₆ = C₃×D₄.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20:3C6	480,725
C₄○D₂₀⋊₄C₆ = C₃×D₄.₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20:4C6	480,743
C₄○D₂₀⋊₅C₆ = C₃×D₄⋊₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20:5C6	480,1141
C₄○D₂₀⋊₆C₆ = C₃×Q₈.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20:6C6	480,1144
C₄○D₂₀⋊₇C₆ = C₃×D₅×C₄○D₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20:7C6	480,1145
C₄○D₂₀⋊₈C₆ = C₃×D₄⋊₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20:8C6	480,1146
C₄○D₂₀⋊₉C₆ = C₃×D₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20:9C6	480,1147

Non-split extensions G=N.Q with N=C₄○D₂₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₀.₁C₆ = C₃×D₂₀⋊₄C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	2	C4oD20.1C6	480,83
C₄○D₂₀.₂C₆ = C₃×D₂₀⋊₇C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	120	4	C4oD20.2C6	480,103
C₄○D₂₀.₃C₆ = C₃×D₂₀.₂C₄	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20.3C6	480,700
C₄○D₂₀.₄C₆ = C₃×C₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20.4C6	480,702
C₄○D₂₀.₅C₆ = C₃×C₂₀.C₂³	φ: C₆/C₃ → C₂ ⊆ Out C₄○D₂₀	240	4	C4oD20.5C6	480,735
C₄○D₂₀.₆C₆ = C₃×D₂₀.₃C₄	φ: trivial image	240	2	C4oD20.6C6	480,694

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