Finite Group Databasebeta

#72177452

order65152
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C29

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:

2^7,509|a^2=f,f^2=g,h^a=h^301,e^b=eg,d^c=dg,h^f=h^508

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(65152, 21505);