Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xC₂₀

Direct product G=NxQ with N=C₈ and Q=C₂xC₂₀

		d	ρ	Label	ID
C₂xC₄xC₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₈ and Q=C₂xC₂₀

extension	φ:Q→Aut N	d	Label	ID
C₈:₁(C₂xC₂₀) = C₅xM₄(2):C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:1(C2xC20)	320,929
C₈:₂(C₂xC₂₀) = C₅xSD₁₆:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:2(C2xC20)	320,941
C₈:₃(C₂xC₂₀) = C₅xD₈:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	C8:3(C2xC20)	320,943
C₈:₄(C₂xC₂₀) = D₈xC₂₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:4(C2xC20)	320,938
C₈:₅(C₂xC₂₀) = SD₁₆xC₂₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:5(C2xC20)	320,939
C₈:₆(C₂xC₂₀) = M₄(2)xC₂₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	C8:6(C2xC20)	320,905
C₈:₇(C₂xC₂₀) = C₁₀xC₂.D₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:7(C2xC20)	320,927
C₈:₈(C₂xC₂₀) = C₁₀xC₄.Q₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:8(C2xC20)	320,926
C₈:₉(C₂xC₂₀) = C₁₀xC₈:C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:9(C2xC20)	320,904

Non-split extensions G=N.Q with N=C₈ and Q=C₂xC₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂xC₂₀) = C₅xD₈:₂C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.1(C2xC20)	320,165
C₈.₂(C₂xC₂₀) = C₅xM₅(2):C₂	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.2(C2xC20)	320,166
C₈.₃(C₂xC₂₀) = C₅xC₈.₁₇D₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	160	4	C8.3(C2xC20)	320,167
C₈.₄(C₂xC₂₀) = C₅xM₄(2).C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.4(C2xC20)	320,931
C₈.₅(C₂xC₂₀) = C₅xQ₁₆:C₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	320		C8.5(C2xC20)	320,942
C₈.₆(C₂xC₂₀) = C₅xC₈.₂₆D₄	φ: C₂xC₂₀/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.6(C2xC20)	320,945
C₈.₇(C₂xC₂₀) = C₅xC₂.D₁₆	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160		C8.7(C2xC20)	320,162
C₈.₈(C₂xC₂₀) = C₅xC₂.Q₃₂	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.8(C2xC20)	320,163
C₈.₉(C₂xC₂₀) = C₅xD₈.C₄	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.9(C2xC20)	320,164
C₈.₁₀(C₂xC₂₀) = Q₁₆xC₂₀	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	320		C8.10(C2xC20)	320,940
C₈.₁₁(C₂xC₂₀) = C₅xC₈oD₈	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	80	2	C8.11(C2xC20)	320,944
C₈.₁₂(C₂xC₂₀) = C₅xD₄oC₁₆	φ: C₂xC₂₀/C₂₀ → C₂ ⊆ Aut C₈	160	2	C8.12(C2xC20)	320,1005
C₈.₁₃(C₂xC₂₀) = C₅xC₁₆:₃C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	320		C8.13(C2xC20)	320,171
C₈.₁₄(C₂xC₂₀) = C₅xC₁₆:₄C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	320		C8.14(C2xC20)	320,172
C₈.₁₅(C₂xC₂₀) = C₅xC₈.₄Q₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	160	2	C8.15(C2xC20)	320,173
C₈.₁₆(C₂xC₂₀) = C₅xC₂³.₂₅D₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	160		C8.16(C2xC20)	320,928
C₈.₁₇(C₂xC₂₀) = C₁₀xC₈.C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	160		C8.17(C2xC20)	320,930
C₈.₁₈(C₂xC₂₀) = C₅xC₈.Q₈	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	80	4	C8.18(C2xC20)	320,170
C₈.₁₉(C₂xC₂₀) = C₅xC₁₆:C₄	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	80	4	C8.19(C2xC20)	320,152
C₈.₂₀(C₂xC₂₀) = C₁₀xM₅(2)	φ: C₂xC₂₀/C₂xC₁₀ → C₂ ⊆ Aut C₈	160		C8.20(C2xC20)	320,1004
C₈.₂₁(C₂xC₂₀) = C₅xC₁₆:₅C₄	central extension (φ=1)	320		C8.21(C2xC20)	320,151
C₈.₂₂(C₂xC₂₀) = C₅xM₆(2)	central extension (φ=1)	160	2	C8.22(C2xC20)	320,175
C₈.₂₃(C₂xC₂₀) = C₅xC₈o₂M₄(2)	central extension (φ=1)	160		C8.23(C2xC20)	320,906

Extensions 1→N→G→Q→1 with N=C8 and Q=C2xC20

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xC₂₀