Finite Group Databasebeta

#54881908

order44100
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C5

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:

2,3,5^2,7,2,3,7|a^2=f,b^3=g,e^7=h^6,e^a=e^6h,h^a=h^6,c^b=c^3d^2,d^b=cd,e^b=e^4h^5,h^b=h^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44100, 70);