C₁₃×D₂₁×C₅₉ #44567263

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

Aliases

direct product	C₁₃×D₂₁×C₅₉
unambiguous semidirect product	C₃⋊(C₁₃×D₇×C₅₉)
unambiguous semidirect product	C₇⋊(D₃×C₁₃×C₅₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₅₉	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₁₃×C₅₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₅₉	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₃×C₅₉

32 conjugacy classes of subgroups.

μ_t(G) = 16107

9204 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32214, 17);