C₉×(C₃×C₃₁⋊C₃)⋊C₉ #36379840

order	22599
automorphism	?
homology	Abelianization (H₁) = C₃×C₉² · Schur multiplier (H₂) = C₃³×C₉

Aliases

Fitting	C₃×C₉²×C₃₁ ⋊ C₃
Sylow	C₃₁ ⋊ C₉×C₃²⋊C₉

662 conjugacy classes of subgroups; only the 229 normal subgroups are shown.

normal subgroups only

This group has 662 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.

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

μ_t(G) = 7533

2727 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22599, 861);