C₃²×D₅×C₁₃×C₂₉ #46800259

order	33930
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₃×C₂₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×D₅×C₁₃×C₂₉
unambiguous semidirect product	C₅⋊(C₂×C₃²×C₁₃×C₂₉)

	subgroup	G/H
center, hypercenter	C₃²×C₁₃×C₂₉	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃²×C₁₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₂₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃²×C₁₃×C₂₉

96 conjugacy classes of subgroups.

μ_t(G) = 16965

13572 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33930, 45);