Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₄₀

Direct product G=NxQ with N=C₂² and Q=C₂xC₄₀

		d	ρ	Label	ID
C₂³xC₄₀		320		C2^3xC40	320,1567

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₄₀) = D₄xC₄₀	φ: C₂xC₄₀/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(C2xC40)	320,935
C₂²:₂(C₂xC₄₀) = C₁₀xC₂²:C₈	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(C2xC40)	320,907

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₄₀) = C₅xD₄oC₁₆	φ: C₂xC₄₀/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1(C2xC40)	320,1005
C₂².₂(C₂xC₄₀) = C₅xC₂³:C₈	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.2(C2xC40)	320,128
C₂².₃(C₂xC₄₀) = C₅xC₂².M₄(2)	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(C2xC40)	320,129
C₂².₄(C₂xC₄₀) = C₅xC₂³.C₈	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.4(C2xC40)	320,154
C₂².₅(C₂xC₄₀) = C₅xC₄².₁₂C₄	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.5(C2xC40)	320,932
C₂².₆(C₂xC₄₀) = C₁₀xM₅(2)	φ: C₂xC₄₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.6(C2xC40)	320,1004
C₂².₇(C₂xC₄₀) = C₅xC₂².₇C₄²	central extension (φ=1)	320		C2^2.7(C2xC40)	320,141
C₂².₈(C₂xC₄₀) = C₅xC₁₆:₅C₄	central extension (φ=1)	320		C2^2.8(C2xC40)	320,151
C₂².₉(C₂xC₄₀) = C₅xC₂²:C₁₆	central extension (φ=1)	160		C2^2.9(C2xC40)	320,153
C₂².₁₀(C₂xC₄₀) = C₅xC₄:C₁₆	central extension (φ=1)	320		C2^2.10(C2xC40)	320,168
C₂².₁₁(C₂xC₄₀) = C₁₀xC₄:C₈	central extension (φ=1)	320		C2^2.11(C2xC40)	320,923

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