Finite Group Databasebeta

#53726294

order41940
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:

2^2,3^2,5,233|a^2=b,c^a=cd,d^a=cd^2,e^a=e^2,f^a=f^89,c^b=c^2,d^b=d^2,e^b=e^4,f^b=f^232

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41940, 55);