D₃×C₅₉×C₈₉ #44538481

order	31506
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₉×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₅₉×C₈₉
unambiguous semidirect product	C₃⋊(C₂×C₅₉×C₈₉)

	subgroup	G/H
center, hypercenter	C₅₉×C₈₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅₉×C₈₉
Frattini	C₁	G
Fitting, socle	C₃×C₅₉×C₈₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅₉×C₈₉

16 conjugacy classes of subgroups.

μ_t(G) = 15753

15753 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31506, 5);