Extensions 1→N→G→Q→1 with N=D₂₀ and Q=Dic₃

Direct product G=N×Q with N=D₂₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×D₂₀		240		Dic3xD20	480,501

Semidirect products G=N:Q with N=D₂₀ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁Dic₃ = D₂₀⋊Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out D₂₀	120	8	D20:1Dic3	480,312
D₂₀⋊₂Dic₃ = D₂₀⋊₂Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out D₂₀	120	8	D20:2Dic3	480,315
D₂₀⋊₃Dic₃ = D₄×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Out D₂₀	60	8	D20:3Dic3	480,1067
D₂₀⋊₄Dic₃ = C₆.D₄₀	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	240		D20:4Dic3	480,41
D₂₀⋊₅Dic₃ = C₆₀.₉₇D₄	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:5Dic3	480,53
D₂₀⋊₆Dic₃ = C₃₀.D₈	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	240		D20:6Dic3	480,40
D₂₀⋊₇Dic₃ = C₆₀.₉₆D₄	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	120	4	D20:7Dic3	480,52
D₂₀⋊₈Dic₃ = D₂₀⋊₈Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	240		D20:8Dic3	480,510

Non-split extensions G=N.Q with N=D₂₀ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.Dic₃ = D₂₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out D₂₀	240	8	D20.Dic3	480,1068
D₂₀.₂Dic₃ = D₂₀.₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out D₂₀	240	4	D20.2Dic3	480,360
D₂₀.₃Dic₃ = D₂₀.₃Dic₃	φ: trivial image	240	4	D20.3Dic3	480,359

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