D₃×C₇×C₁₃×C₅₉ #44567259

order	32214
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₅₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇×C₁₃×C₅₉
unambiguous semidirect product	C₃⋊(C₂×C₇×C₁₃×C₅₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₅₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇×C₁₃×C₅₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₅₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇×C₁₃×C₅₉

32 conjugacy classes of subgroups.

μ_t(G) = 16107

16107 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32214, 13);