C₃²×C₉×C₁₂₇⋊C₃ #44525138

order	30861
automorphism	?
homology	Abelianization (H₁) = C₃³×C₉ · Schur multiplier (H₂) = C₃⁶

Aliases

C₃²×C₉×C₁₂₇⋊C₃

Fitting	C₃²×C₉×C₁₂₇ ⋊ C₃
derived, Sylow	C₁₂₇ ⋊ C₃³×C₉

792 conjugacy classes of subgroups.

μ_t(G) = 10287

3645 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30861, 292);