Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄₀:₈C₄

Direct product G=NxQ with N=C₃ and Q=C₄₀:₈C₄

		d	ρ	Label	ID
C₃xC₄₀:₈C₄		480		C3xC40:8C4	480,93

Semidirect products G=N:Q with N=C₃ and Q=C₄₀:₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₄₀:₈C₄) = C₃₀.₂₃C₄²	φ: C₄₀:₈C₄/C₂xC₅:₂C₈ → C₂ ⊆ Aut C₃	480		C3:1(C40:8C4)	480,30
C₃:₂(C₄₀:₈C₄) = C₃₀.₂₁C₄²	φ: C₄₀:₈C₄/C₄xDic₅ → C₂ ⊆ Aut C₃	480		C3:2(C40:8C4)	480,28
C₃:₃(C₄₀:₈C₄) = C₁₂₀:₁₃C₄	φ: C₄₀:₈C₄/C₂xC₄₀ → C₂ ⊆ Aut C₃	480		C3:3(C40:8C4)	480,175

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