Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈xC₁₀

Direct product G=NxQ with N=C₂² and Q=Q₈xC₁₀

		d	ρ	Label	ID
Q₈xC₂²xC₁₀		320		Q8xC2^2xC10	320,1630

Semidirect products G=N:Q with N=C₂² and Q=Q₈xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(Q₈xC₁₀) = C₁₀xC₂²:Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(Q8xC10)	320,1525
C₂²:₂(Q₈xC₁₀) = C₅xD₄xQ₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₂²	160		C2^2:2(Q8xC10)	320,1551

Non-split extensions G=N.Q with N=C₂² and Q=Q₈xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈xC₁₀) = C₁₀xC₈.C₄	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.1(Q8xC10)	320,930
C₂².₂(Q₈xC₁₀) = C₅xM₄(2).C₄	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(Q8xC10)	320,931
C₂².₃(Q₈xC₁₀) = C₅xC₂³.₃₇C₂³	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(Q8xC10)	320,1535
C₂².₄(Q₈xC₁₀) = C₅xC₂³:₂Q₈	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.4(Q8xC10)	320,1545
C₂².₅(Q₈xC₁₀) = C₅xC₂³.₄₁C₂³	φ: Q₈xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.5(Q8xC10)	320,1546
C₂².₆(Q₈xC₁₀) = C₅xD₄:₃Q₈	φ: Q₈xC₁₀/C₅xQ₈ → C₂ ⊆ Aut C₂²	160		C2^2.6(Q8xC10)	320,1556
C₂².₇(Q₈xC₁₀) = C₁₀xC₂.C₄²	central extension (φ=1)	320		C2^2.7(Q8xC10)	320,876
C₂².₈(Q₈xC₁₀) = C₄:C₄xC₂₀	central extension (φ=1)	320		C2^2.8(Q8xC10)	320,879
C₂².₉(Q₈xC₁₀) = C₅xC₂³.₇Q₈	central extension (φ=1)	160		C2^2.9(Q8xC10)	320,881
C₂².₁₀(Q₈xC₁₀) = C₅xC₄²:₈C₄	central extension (φ=1)	320		C2^2.10(Q8xC10)	320,883
C₂².₁₁(Q₈xC₁₀) = C₅xC₄²:₉C₄	central extension (φ=1)	320		C2^2.11(Q8xC10)	320,885
C₂².₁₂(Q₈xC₁₀) = C₅xC₂³.₈Q₈	central extension (φ=1)	160		C2^2.12(Q8xC10)	320,886
C₂².₁₃(Q₈xC₁₀) = C₅xC₂³.₆₃C₂³	central extension (φ=1)	320		C2^2.13(Q8xC10)	320,888
C₂².₁₄(Q₈xC₁₀) = C₅xC₂³.₆₅C₂³	central extension (φ=1)	320		C2^2.14(Q8xC10)	320,890
C₂².₁₅(Q₈xC₁₀) = C₅xC₂³.₆₇C₂³	central extension (φ=1)	320		C2^2.15(Q8xC10)	320,892
C₂².₁₆(Q₈xC₁₀) = C₄:C₄xC₂xC₁₀	central extension (φ=1)	320		C2^2.16(Q8xC10)	320,1515
C₂².₁₇(Q₈xC₁₀) = Q₈xC₂xC₂₀	central extension (φ=1)	320		C2^2.17(Q8xC10)	320,1518
C₂².₁₈(Q₈xC₁₀) = C₁₀xC₄².C₂	central extension (φ=1)	320		C2^2.18(Q8xC10)	320,1529
C₂².₁₉(Q₈xC₁₀) = C₁₀xC₄:Q₈	central extension (φ=1)	320		C2^2.19(Q8xC10)	320,1533
C₂².₂₀(Q₈xC₁₀) = C₅xC₂³:Q₈	central stem extension (φ=1)	160		C2^2.20(Q8xC10)	320,894
C₂².₂₁(Q₈xC₁₀) = C₅xC₂³.₇₈C₂³	central stem extension (φ=1)	320		C2^2.21(Q8xC10)	320,896
C₂².₂₂(Q₈xC₁₀) = C₅xC₂³.Q₈	central stem extension (φ=1)	160		C2^2.22(Q8xC10)	320,897
C₂².₂₃(Q₈xC₁₀) = C₅xC₂³.₈₁C₂³	central stem extension (φ=1)	320		C2^2.23(Q8xC10)	320,899
C₂².₂₄(Q₈xC₁₀) = C₅xC₂³.₄Q₈	central stem extension (φ=1)	160		C2^2.24(Q8xC10)	320,900
C₂².₂₅(Q₈xC₁₀) = C₅xC₂³.₈₃C₂³	central stem extension (φ=1)	320		C2^2.25(Q8xC10)	320,901

Extensions 1→N→G→Q→1 with N=C22 and Q=Q8xC10

Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈xC₁₀