C₃×C₅×C₄₃×D₂₉ #49153449

order	37410
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₄₃×D₂₉
unambiguous semidirect product	C₂₉⋊(C₂×C₃×C₅×C₄₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₄₃	D₂₉
commutator, cosocle, hypocenter	C₂₉	C₂×C₃×C₅×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₄₃	C₂
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₃×C₅×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 18705

10320 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37410, 4);