C₅×D₃×C₁₃×C₅₉ #37527654

order	23010
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃×C₅₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₁₃×C₅₉
unambiguous semidirect product	C₃⋊(C₂×C₅×C₁₃×C₅₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₃×C₅₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₁₃×C₅₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₅₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₁₃×C₅₉

32 conjugacy classes of subgroups.

μ_t(G) = 11505

11505 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23010, 10);