Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₂xC₁₀

Direct product G=NxQ with N=C₁₆ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂²xC₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₁₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆:(C₂xC₁₀) = C₅xC₁₆:C₂²	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₁₆	80	4	C16:(C2xC10)	320,1010
C₁₆:₂(C₂xC₁₀) = C₁₀xD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:2(C2xC10)	320,1006
C₁₆:₃(C₂xC₁₀) = C₁₀xSD₃₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:3(C2xC10)	320,1007
C₁₆:₄(C₂xC₁₀) = C₁₀xM₅(2)	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160		C16:4(C2xC10)	320,1004

Non-split extensions G=N.Q with N=C₁₆ and Q=C₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.(C₂xC₁₀) = C₅xQ₃₂:C₂	φ: C₂xC₁₀/C₅ → C₂² ⊆ Aut C₁₆	160	4	C16.(C2xC10)	320,1011
C₁₆.₂(C₂xC₁₀) = C₅xD₃₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.2(C2xC10)	320,176
C₁₆.₃(C₂xC₁₀) = C₅xSD₆₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.3(C2xC10)	320,177
C₁₆.₄(C₂xC₁₀) = C₅xQ₆₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	320	2	C16.4(C2xC10)	320,178
C₁₆.₅(C₂xC₁₀) = C₁₀xQ₃₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16.5(C2xC10)	320,1008
C₁₆.₆(C₂xC₁₀) = C₅xC₄oD₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.6(C2xC10)	320,1009
C₁₆.₇(C₂xC₁₀) = C₅xM₆(2)	central extension (φ=1)	160	2	C16.7(C2xC10)	320,175
C₁₆.₈(C₂xC₁₀) = C₅xD₄oC₁₆	central extension (φ=1)	160	2	C16.8(C2xC10)	320,1005

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