Finite Group Databasebeta

#57195403

order45990
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C3

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:

2,3^2,5,7,73|d^a=d^4,e^a=e^6,f^a=f^72,f^b=f^8,e^c=e^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45990, 68);