Finite Group Databasebeta

#52629481

order41100
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C5

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:

2,3,2,5^2,137|a^2=c,d^a=d^4,e^a=e^4,f^a=f^100,d^b=de,e^b=d^2e^3,f^c=f^136

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41100, 59);