Finite Group Databasebeta

#51429006

order39564
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

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:

2^2,3,7,157,3|c^3=f,e^a=e^156,d^b=d^6,d^c=d^2,e^c=e^144

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39564, 30);