C₅×D₃₉×C₈₃ #44569161

order	32370
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃₉×C₈₃
unambiguous semidirect product	C₃⋊(C₅×D₁₃×C₈₃)
unambiguous semidirect product	C₁₃⋊(C₅×D₃×C₈₃)

	subgroup	G/H
center, hypercenter	C₅×C₈₃	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₅×C₈₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₈₃	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₅×C₈₃

32 conjugacy classes of subgroups.

μ_t(G) = 16185

8715 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32370, 12);