C₃×(C₃×C₉₇⋊C₃)⋊C₉ #37555850

order	23571
automorphism	?
homology	Abelianization (H₁) = C₃²×C₉ · Schur multiplier (H₂) = C₃⁴

Aliases

Fitting	C₃²×C₉×C₉₇ ⋊ C₃
Sylow	C₉₇ ⋊ C₃×C₃²⋊C₉

288 conjugacy classes of subgroups.

μ_t(G) = 7857

2691 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23571, 157);