Finite Group Databasebeta

#65313471

order57472
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

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=b,b^2=c,c^2=d,d^2=e,e^2=f,f^2=g,h^a=h^391,h^b=h^221,h^c=h^349,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, 21818);