Finite Group Databasebeta

#51429003

order39564
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:

2,3,2,7,157,3|a^2=c,b^3=f,d^a=d^6,e^a=e^28,d^b=d^2,e^b=e^12,e^c=e^156

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39564, 27);