C₃×D₅×C₁₃×C₈₃ #44569155

order	32370
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₅×C₁₃×C₈₃
unambiguous semidirect product	C₅⋊(C₂×C₃×C₁₃×C₈₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₈₃	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₁₃×C₈₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₈₃	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₁₃×C₈₃

32 conjugacy classes of subgroups.

μ_t(G) = 16185

12948 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32370, 6);