C₃×D₃×C₁₉×C₈₉ #44478451

order	30438
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₃×C₁₉×C₈₉
unambiguous semidirect product	C₃⋊(C₂×C₃×C₁₉×C₈₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉×C₈₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₁₉×C₈₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₈₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₁₉×C₈₉

36 conjugacy classes of subgroups.

μ_t(G) = 10146

15219 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30438, 29);