Finite Group Databasebeta

#56058018

order45012
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C11

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:

2,3,2,11^2,31|a^2=c,d^a=d^5e^7,e^a=de^6,f^a=f^30,d^b=d^9e^10,e^b=d^3e,d^c=d^10,e^c=e^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, 74);