C₃×C₅×C₁₃×D₈₃ #44569152

order	32370
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₁₃×D₈₃
unambiguous semidirect product	C₈₃⋊(C₂×C₃×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₃	D₈₃
commutator, cosocle, hypocenter	C₈₃	C₂×C₃×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₈₃	C₂
LCS	G ▷ C₈₃
UCS	C₁ ◁ C₃×C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 16185

8385 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32370, 3);