C₃×C₅×C₁₃×D₅₉ #37527647

order	23010
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₁₃×D₅₉
unambiguous semidirect product	C₅₉⋊(C₂×C₃×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₃	D₅₉
commutator, cosocle, hypocenter	C₅₉	C₂×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₅₉	C₂
LCS	G ▷ C₅₉
UCS	C₁ ◁ C₃×C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 11505

6045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23010, 3);