Finite Group Databasebeta

#52629944

order41140
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

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:

2^2,5,17,11^2|c^a=c^4,d^a=d^16,e^a=e^4f^2,f^a=e^9f^7,c^b=c^4,e^b=e^7f^9,f^b=e^2f^4,e^c=e^3f^9,f^c=f^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41140, 99);