Finite Group Databasebeta

#52623448

order40725
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C5

Aliases

No aliases for this group.

Subgroups

subgroupG/H
center?
commutator?
Frattini?
hypercenter?
hypocenter?
LCS?
UCS?

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

3^2,5^2,181|a^3=b,c^a=cd^3,d^a=c^4d^3,e^a=e^39,e^b=e^132

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40725, 20);