C₅×D₃×C₂₉×C₄₃ #49153455

order	37410
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₂₉×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₂₉×C₄₃
unambiguous semidirect product	C₃⋊(C₂×C₅×C₂₉×C₄₃)

	subgroup	G/H
center, hypercenter	C₅×C₂₉×C₄₃	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₂₉×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₄₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₂₉×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 18705

18705 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37410, 10);