Finite Group Databasebeta

#56087517

order45540
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C3

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:

2,11,3^2,5,23,2|a^2=g,c^a=c^2,d^a=d^2,e^a=e^4,f^a=f^22,f^b=f^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45540, 139);