Extensions 1→N→G→Q→1 with N=C₄₀ and Q=Dic₃

Direct product G=N×Q with N=C₄₀ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₄₀		480		Dic3xC40	480,132

Semidirect products G=N:Q with N=C₄₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀⋊₁Dic₃ = D₅.D₂₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:1Dic3	480,299
C₄₀⋊₂Dic₃ = C₁₂₀⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:2Dic3	480,298
C₄₀⋊₃Dic₃ = C₈×C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:3Dic3	480,296
C₄₀⋊₄Dic₃ = C₂₄⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:4Dic3	480,297
C₄₀⋊₅Dic₃ = C₁₂₀⋊₉C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:5Dic3	480,178
C₄₀⋊₆Dic₃ = C₁₂₀⋊₁₀C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:6Dic3	480,177
C₄₀⋊₇Dic₃ = C₈×Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:7Dic3	480,173
C₄₀⋊₈Dic₃ = C₁₂₀⋊₁₃C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:8Dic3	480,175
C₄₀⋊₉Dic₃ = C₅×C₂₄⋊₁C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:9Dic3	480,137
C₄₀⋊₁₀Dic₃ = C₅×C₈⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:10Dic3	480,136
C₄₀⋊₁₁Dic₃ = C₅×C₂₄⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40:11Dic3	480,134

Non-split extensions G=N.Q with N=C₄₀ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁Dic₃ = C₂₄.₁F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.1Dic3	480,301
C₄₀.₂Dic₃ = C₄₀.Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.2Dic3	480,300
C₄₀.₃Dic₃ = C₁₅⋊C₃₂	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	480	4	C40.3Dic3	480,6
C₄₀.₄Dic₃ = C₂₄.F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.4Dic3	480,294
C₄₀.₅Dic₃ = C₁₂₀.C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.5Dic3	480,295
C₄₀.₆Dic₃ = C₄.₁₈D₆₀	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.6Dic3	480,179
C₄₀.₇Dic₃ = C₁₅⋊₃C₃₂	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480	2	C40.7Dic3	480,3
C₄₀.₈Dic₃ = C₂×C₁₅⋊₃C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	480		C40.8Dic3	480,171
C₄₀.₉Dic₃ = C₆₀.₇C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.9Dic3	480,172
C₄₀.₁₀Dic₃ = C₅×C₂₄.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.10Dic3	480,138
C₄₀.₁₁Dic₃ = C₅×C₁₂.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.11Dic3	480,131
C₄₀.₁₂Dic₃ = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C40.12Dic3	480,1
C₄₀.₁₃Dic₃ = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C40.13Dic3	480,130

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