C₃×C₉⋊C₉×C₄₃⋊C₃ #44534637

order	31347
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁶

Aliases

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

1484 conjugacy classes of subgroups; only the 652 normal subgroups are shown.

normal subgroups only

This group has 1484 conjugacy classes of subgroups — too many to draw. Only its 652 normal subgroups are shown.

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

μ_t(G) = 10449

1683 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 3260);