Finite Group Databasebeta

#61820109

order50816
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C25

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:

2^7,397|a^2=e,e^2=f,f^2=g,d^a=dg,h^a=h^334,c^b=cg,h^d=h^396,h^e=h^396

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50816, 21478);