Extensions 1→N→G→Q→1 with N=C₄₀ and Q=C₁₂

Direct product G=NxQ with N=C₄₀ and Q=C₁₂

		d	ρ	Label	ID
C₄xC₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₄₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀:₁C₁₂ = C₃xD₅.D₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:1C12	480,274
C₄₀:₂C₁₂ = C₃xC₄₀:C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:2C12	480,273
C₄₀:₃C₁₂ = F₅xC₂₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:3C12	480,271
C₄₀:₄C₁₂ = C₃xC₈:F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	120	4	C40:4C12	480,272
C₄₀:₅C₁₂ = C₃xC₄₀:₅C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:5C12	480,96
C₄₀:₆C₁₂ = C₃xC₄₀:₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:6C12	480,95
C₄₀:₇C₁₂ = Dic₅xC₂₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:7C12	480,91
C₄₀:₈C₁₂ = C₃xC₄₀:₈C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:8C12	480,93
C₄₀:₉C₁₂ = C₁₅xC₂.D₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:9C12	480,210
C₄₀:₁₀C₁₂ = C₁₅xC₄.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:10C12	480,209
C₄₀:₁₁C₁₂ = C₁₅xC₈:C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40:11C12	480,200

Non-split extensions G=N.Q with N=C₄₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁C₁₂ = C₃xD₁₀.Q₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.1C12	480,276
C₄₀.₂C₁₂ = C₃xC₄₀.C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.2C12	480,275
C₄₀.₃C₁₂ = C₃xC₅:C₃₂	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	480	4	C40.3C12	480,5
C₄₀.₄C₁₂ = C₃xD₅:C₁₆	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.4C12	480,269
C₄₀.₅C₁₂ = C₃xC₈.F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₄₀	240	4	C40.5C12	480,270
C₄₀.₆C₁₂ = C₃xC₄₀.₆C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.6C12	480,97
C₄₀.₇C₁₂ = C₃xC₅:₂C₃₂	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480	2	C40.7C12	480,2
C₄₀.₈C₁₂ = C₆xC₅:₂C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	480		C40.8C12	480,89
C₄₀.₉C₁₂ = C₃xC₂₀.₄C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.9C12	480,90
C₄₀.₁₀C₁₂ = C₁₅xC₈.C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.10C12	480,211
C₄₀.₁₁C₁₂ = C₁₅xM₅(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₄₀	240	2	C40.11C12	480,213

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