C₃²×(C₃×C₄₃⋊C₃)⋊C₉ #44534635

order	31347
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁷

Aliases

Fitting	C₃³×C₉×C₄₃ ⋊ C₃
Sylow	C₄₃ ⋊ C₃²×C₃²⋊C₉

2996 conjugacy classes of subgroups; only the 814 normal subgroups are shown.

normal subgroups only

This group has 2996 conjugacy classes of subgroups — too many to draw. Only its 814 normal subgroups are shown.

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

μ_t(G) = 10449

3699 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 3258);