Finite Group Databasebeta

#52594917

order40222
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C13

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:

2,7,13^2,17|c^a=c^12,d^a=d^12,e^a=e^16,c^b=cd,d^b=c^6d^7

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40222, 14);