Finite Group Databasebeta

#67546476

order58624
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:

2^8,229|a^2=g,g^2=h,f^a=fh,i^a=i^122,e^b=eh,d^c=dh,i^c=i^228,i^d=i^228,i^g=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, 1116307);