Finite Group Databasebeta

#37612701

order24704
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:

2^7,193|a^2=c,c^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^185,h^b=h^192,h^c=h^64,h^d=h^43,h^e=h^112,h^f=h^192

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24704, 21816);