Finite Group Databasebeta

#52636585

order41504
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22

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:

2^5,1297|a^2=d,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^1296

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41504, 66);