D₃×C₄₇×C₈₉ #38737192

order	25098
automorphism	?
homology	Abelianization (H₁) = C₂×C₄₇×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₄₇×C₈₉
unambiguous semidirect product	C₃⋊(C₂×C₄₇×C₈₉)

	subgroup	G/H
center, hypercenter	C₄₇×C₈₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₄₇×C₈₉
Frattini	C₁	G
Fitting, socle	C₃×C₄₇×C₈₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₄₇×C₈₉

16 conjugacy classes of subgroups.

μ_t(G) = 12549

12549 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25098, 5);