C₅²×D₉×C₅₃ #37558704

order	23850
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₅₃ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×D₉×C₅₃
unambiguous semidirect product	C₉⋊(C₂×C₅²×C₅₃)

	subgroup	G/H
center, hypercenter	C₅²×C₅₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₅²×C₅₃
Frattini	C₃	C₅²×D₃×C₅₃
Fitting	C₅²×C₉×C₅₃	C₂
socle	C₃×C₅²×C₅₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₅²×C₅₃

96 conjugacy classes of subgroups.

μ_t(G) = 11925

7950 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23850, 33);