Finite Group Databasebeta

#56060027

order45150
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:

2,7,3,5^2,43|c^a=c^2,d^a=d^4,e^a=e^4,f^a=f^42,f^b=f^41

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45150, 87);