Finite Group Databasebeta

#51455393

order40050
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:

2,3,89,5^2,3|b^3=f^2,b^a=b^2f,c^a=c^88,d^a=d^2e,e^a=d^2e^3,f^a=f^2,d^b=d^2e^4,e^b=d^2e^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40050, 23);