Finite Group Databasebeta

#46776337

order33536
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C214

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:

2^8,131|a^2=h,b^2=h,g^2=h,b^a=bg,g^a=gh,i^a=i^130,g^b=gh,i^b=i^130,f^c=fh,e^d=eh

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33536, 1083441);