D₉×C₂₀₅₃ #49149281

order	36954
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₀₅₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₀₅₃
unambiguous semidirect product	C₉⋊(C₂×C₂₀₅₃)

Fitting, Hall	C₉×C₂₀₅₃ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₂₀₅₃

	subgroup	G/H
center, hypercenter	C₂₀₅₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₀₅₃
Frattini	C₃	D₃×C₂₀₅₃
Fitting	C₉×C₂₀₅₃	C₂
socle	C₃×C₂₀₅₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₀₅₃

12 conjugacy classes of subgroups.

μ_t(G) = 18477

12318 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36954, 4);