Finite Group Databasebeta

#72154177

order64832
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C25

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:

2^6,1013|a^2=e,e^2=f,d^a=df,g^a=g^968,c^b=cf,g^b=g^1012,g^c=g^1012,g^e=g^1012

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64832, 1629);