Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈xC₁₀

Direct product G=NxQ with N=C₄ and Q=Q₈xC₁₀

		d	ρ	Label	ID
Q₈xC₂xC₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=C₄ and Q=Q₈xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(Q₈xC₁₀) = C₁₀xC₄:Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4:1(Q8xC10)	320,1533
C₄:₂(Q₈xC₁₀) = C₅xD₄xQ₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	160		C4:2(Q8xC10)	320,1551

Non-split extensions G=N.Q with N=C₄ and Q=Q₈xC₁₀

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈xC₁₀) = C₁₀xC₄.Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.1(Q8xC10)	320,926
C₄.₂(Q₈xC₁₀) = C₁₀xC₂.D₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.2(Q8xC10)	320,927
C₄.₃(Q₈xC₁₀) = C₅xC₂³.₂₅D₄	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	C4.3(Q8xC10)	320,928
C₄.₄(Q₈xC₁₀) = C₅xM₄(2):C₄	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	C4.4(Q8xC10)	320,929
C₄.₅(Q₈xC₁₀) = C₅xC₈:₃Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.5(Q8xC10)	320,999
C₄.₆(Q₈xC₁₀) = C₅xC₈.₅Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.6(Q8xC10)	320,1000
C₄.₇(Q₈xC₁₀) = C₅xC₈:₂Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.7(Q8xC10)	320,1001
C₄.₈(Q₈xC₁₀) = C₅xC₈:Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.8(Q8xC10)	320,1002
C₄.₉(Q₈xC₁₀) = C₁₀xC₄².C₂	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	320	C4.9(Q8xC10)	320,1529
C₄.₁₀(Q₈xC₁₀) = C₅xC₂³.₃₇C₂³	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	C4.10(Q8xC10)	320,1535
C₄.₁₁(Q₈xC₁₀) = C₅xC₂³.₄₁C₂³	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₄	160	C4.11(Q8xC10)	320,1546
C₄.₁₂(Q₈xC₁₀) = C₅xD₄:Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	160	C4.12(Q8xC10)	320,975
C₄.₁₃(Q₈xC₁₀) = C₅xQ₈:Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	320	C4.13(Q8xC10)	320,976
C₄.₁₄(Q₈xC₁₀) = C₅xD₄:₂Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	160	C4.14(Q8xC10)	320,977
C₄.₁₅(Q₈xC₁₀) = C₅xC₄.Q₁₆	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	320	C4.15(Q8xC10)	320,978
C₄.₁₆(Q₈xC₁₀) = C₅xD₄.Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	160	C4.16(Q8xC10)	320,979
C₄.₁₇(Q₈xC₁₀) = C₅xQ₈.Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	320	C4.17(Q8xC10)	320,980
C₄.₁₈(Q₈xC₁₀) = C₅xD₄:₃Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	160	C4.18(Q8xC10)	320,1556
C₄.₁₉(Q₈xC₁₀) = C₅xQ₈:₃Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	320	C4.19(Q8xC10)	320,1559
C₄.₂₀(Q₈xC₁₀) = C₅xQ₈²	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₄	320	C4.20(Q8xC10)	320,1560
C₄.₂₁(Q₈xC₁₀) = C₁₀xC₄:C₈	central extension (φ=1)	320	C4.21(Q8xC10)	320,923
C₄.₂₂(Q₈xC₁₀) = C₅xC₄:M₄(2)	central extension (φ=1)	160	C4.22(Q8xC10)	320,924
C₄.₂₃(Q₈xC₁₀) = C₅xC₄².₆C₂²	central extension (φ=1)	160	C4.23(Q8xC10)	320,925
C₄.₂₄(Q₈xC₁₀) = Q₈xC₄₀	central extension (φ=1)	320	C4.24(Q8xC10)	320,946
C₄.₂₅(Q₈xC₁₀) = C₅xC₈:₄Q₈	central extension (φ=1)	320	C4.25(Q8xC10)	320,947

Extensions 1→N→G→Q→1 with N=C4 and Q=Q8xC10

Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈xC₁₀