Finite Group Databasebeta

#65317900

order57591
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C36

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:

3^6,79|b^3=f^2,c^3=f,b^a=be,e^a=ef,g^b=g^23,d^c=df,g^d=g^55

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57591, 4007);