C₃×C₉×C₃²⋊(C₃₁⋊C₃) #36382250

order	22599
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁷

Aliases

Fitting	C₃³×C₉×C₃₁ ⋊ C₃
Sylow	C₃₁ ⋊ C₃×C₉×H(3,𝔽₃)

1688 conjugacy classes of subgroups; only the 526 normal subgroups are shown.

normal subgroups only

This group has 1688 conjugacy classes of subgroups — too many to draw. Only its 526 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, 3271);