Finite Group Databasebeta

#51452613

order39808
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C28

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:

2^7,311|c^2=f,e^2=g,b^a=bf,c^a=cg,d^a=dg,e^a=ef,h^a=h^310,c^b=cg,d^b=df,h^b=h^310,h^c=h^310,h^d=h^310

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39808, 19192);