Finite Group Databasebeta

#65313460

order57472
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:

2^7,449|a^2=d,d^2=e,e^2=f,f^2=g,h^a=h^349,c^b=cg,h^b=h^448,h^c=h^448,h^d=h^122,h^e=h^67,h^f=h^448

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57472, 21807);