C₁₃×D₁₅×C₈₃ #44569163

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

Aliases

direct product	C₁₃×D₁₅×C₈₃
unambiguous semidirect product	C₃⋊(D₅×C₁₃×C₈₃)
unambiguous semidirect product	C₅⋊(D₃×C₁₃×C₈₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₈₃	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₁₃×C₈₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₈₃	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₃×C₈₃

32 conjugacy classes of subgroups.

μ_t(G) = 16185

9711 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32370, 14);