D₉×C₂₁₄₁ #50310568

order	38538
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₁₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₁₄₁
unambiguous semidirect product	C₉⋊(C₂×C₂₁₄₁)

Fitting, Hall	C₉×C₂₁₄₁ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₂₁₄₁

	subgroup	G/H
center, hypercenter	C₂₁₄₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₁₄₁
Frattini	C₃	D₃×C₂₁₄₁
Fitting	C₉×C₂₁₄₁	C₂
socle	C₃×C₂₁₄₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₁₄₁

12 conjugacy classes of subgroups.

μ_t(G) = 19269

12846 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38538, 2);