Finite Group Databasebeta

#58322892

order46746
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

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:

2,3^2,7,53,7|d^7=f^6,c^a=c^2,d^a=d^6f,e^a=e^52,f^a=f^6,d^b=d^2f^3,f^b=f^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(46746, 18);