Finite Group Databasebeta

#54887497

order44224
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:

2^6,691|a^2=f,b^2=f,e^2=f,b^a=be,e^a=ef,g^a=g^690,e^b=ef,g^b=g^690,d^c=df

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44224, 1366);