Finite Group Databasebeta

#53722720

order41744
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:

2^4,2609|a^2=b,b^2=c,c^2=d,e^a=e^1866,e^b=e^1550,e^c=e^2220,e^d=e^2608

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41744, 54);