Finite Group Databasebeta

#67546437

order58624
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C29

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:

2^8,229|a^2=f,f^2=g,g^2=h,d^a=dh,i^a=i^122,c^b=ch,i^e=i^228,i^f=i^228

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58624, 1116268);