C₃²×C₅×C₁₃×D₂₉ #46800256

order	33930
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₅×C₁₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₅×C₁₃×D₂₉
unambiguous semidirect product	C₂₉⋊(C₂×C₃²×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₃²×C₅×C₁₃	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂×C₃²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₂₉	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₃²×C₅×C₁₃

96 conjugacy classes of subgroups.

μ_t(G) = 16965

9360 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33930, 42);