Finite Group Databasebeta

#38756196

order25216
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:

2^7,197|e^2=f,b^a=bf,c^a=cg,d^b=df,h^d=h^196,h^e=h^196

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25216, 17994);