C₂×C₅×C₂²⋊(C₅⋊D₅) #14522918

order	2000
isoclinism	isoclinic class of #6045
automorphism	?
homology	Abelianization (H₁) = C₂³×C₅ · Schur multiplier (H₂) = C₂³×C₅

Aliases

direct product	C₂×C₅×C₂²⋊(C₅⋊D₅)
unambiguous semidirect product	C₂³⋊(C₅×C₅⋊D₅)

Fitting	C₂³×C₅³ ⋊ C₂
Sylow	C₅³ ⋊ C₂×D₄

816 conjugacy classes of subgroups; only the 150 normal subgroups are shown.

normal subgroups only

This group has 816 conjugacy classes of subgroups — too many to draw. Only its 150 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 200

530 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2000, 881);