D₆₅⋊D₁₃₃ #46829184

order	34580
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

D₆₅⋊D₁₃₃

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅×C₇×C₁₃×C₁₉	C₂²
LCS	G ▷ C₅×C₇×C₁₃×C₁₉
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 8645

Polycyclic presentation:

2^2,5,7,13,19|d^a=d^6,e^a=e^12,f^a=f^18,c^b=c^4,e^b=e^12

2276 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34580, 75);