C₃×C₅×C₃₇×D₂₉ #44565711

order	32190
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₃₇×D₂₉
unambiguous semidirect product	C₂₉⋊(C₂×C₃×C₅×C₃₇)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₃₇	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂×C₃×C₅×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₃₇	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₃×C₅×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 16095

8880 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32190, 4);