C₅²×C₁₆₉⋊C₉ #49184591

order	38025
automorphism	?
homology	Abelianization (H₁) = C₅²×C₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×C₁₆₉⋊C₉
unambiguous semidirect product	C₁₆₉⋊(C₅²×C₉)
unambiguous semidirect product	(C₅×C₁₆₉)⋊(C₅×C₉)

derived, Sylow	C₁₆₉ ⋊ C₅²×C₉
Hall	C₅²×C₁₆₉ ⋊ C₉

72 conjugacy classes of subgroups.

μ_t(G) = 38025

4425 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38025, 6);