Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Dic₃

Direct product G=N×Q with N=C₂₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂₀		240		Dic3xC20	240,56

Semidirect products G=N:Q with N=C₂₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁Dic₃ = C₆₀⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂₀	60	4	C20:1Dic3	240,121
C₂₀⋊₂Dic₃ = C₄×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂₀	60	4	C20:2Dic3	240,120
C₂₀⋊₃Dic₃ = C₆₀⋊₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	240		C20:3Dic3	240,74
C₂₀⋊₄Dic₃ = C₄×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	240		C20:4Dic3	240,72
C₂₀⋊₅Dic₃ = C₅×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	240		C20:5Dic3	240,58

Non-split extensions G=N.Q with N=C₂₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁Dic₃ = C₁₂.F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂₀	120	4	C20.1Dic3	240,119
C₂₀.₂Dic₃ = C₁₅⋊C₁₆	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂₀	240	4	C20.2Dic3	240,6
C₂₀.₃Dic₃ = C₆₀.C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂₀	120	4	C20.3Dic3	240,118
C₂₀.₄Dic₃ = C₆₀.₇C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.4Dic3	240,71
C₂₀.₅Dic₃ = C₁₅⋊₃C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	240	2	C20.5Dic3	240,3
C₂₀.₆Dic₃ = C₂×C₁₅⋊₃C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	240		C20.6Dic3	240,70
C₂₀.₇Dic₃ = C₅×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.7Dic3	240,55
C₂₀.₈Dic₃ = C₅×C₃⋊C₁₆	central extension (φ=1)	240	2	C20.8Dic3	240,1
C₂₀.₉Dic₃ = C₁₀×C₃⋊C₈	central extension (φ=1)	240		C20.9Dic3	240,54

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