Finite Group Databasebeta

#56058020

order45012
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:

2^2,3,31,11^2|c^a=c^2,d^a=d^30,e^a=ef,f^a=f^10,c^b=c^2,e^b=e^10f^10,e^c=f,f^c=e^10f^10

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45012, 76);