D₁₅⋊D₅₅₉ #46776592

order	33540
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

D₁₅⋊D₅₅₉

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₅×C₁₃×C₄₃	C₂²
LCS	G ▷ C₃×C₅×C₁₃×C₄₃
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 8385

Polycyclic presentation:

2^2,3,5,13,43|d^a=d^4,e^a=e^12,f^a=f^42,c^b=c^2,d^b=d^4

2523 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33540, 212);