D₉×C₁₈₇₃ #46797877

order	33714
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₈₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₈₇₃
unambiguous semidirect product	C₉⋊(C₂×C₁₈₇₃)

Fitting, Hall	C₉×C₁₈₇₃ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂×C₁₈₇₃

	subgroup	G/H
center, hypercenter	C₁₈₇₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₈₇₃
Frattini	C₃	D₃×C₁₈₇₃
Fitting	C₉×C₁₈₇₃	C₂
socle	C₃×C₁₈₇₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₈₇₃

12 conjugacy classes of subgroups.

μ_t(G) = 16857

11238 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33714, 4);