C₅×D₃×C₁₉×C₂₉ #30658349

order	16530
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₁₉×C₂₉
unambiguous semidirect product	C₃⋊(C₂×C₅×C₁₉×C₂₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉×C₂₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₁₉×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₁₉×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 8265

8265 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16530, 10);