C₂₉×D₁₅×C₄₃ #49153459

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

Aliases

direct product	C₂₉×D₁₅×C₄₃
unambiguous semidirect product	C₃⋊(D₅×C₂₉×C₄₃)
unambiguous semidirect product	C₅⋊(D₃×C₂₉×C₄₃)

	subgroup	G/H
center, hypercenter	C₂₉×C₄₃	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₂₉×C₄₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₂₉×C₄₃	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₂₉×C₄₃

32 conjugacy classes of subgroups.

μ_t(G) = 18705

11223 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37410, 14);