Finite Group Databasebeta

#52628614

order41024
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:

2^6,641|a^2=b,b^2=c,c^2=d,d^2=e,e^2=f,g^a=g^77,g^b=g^160,g^c=g^601,g^d=g^318,g^e=g^487,g^f=g^640

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41024, 1684);