Finite Group Databasebeta

#53731322

order42300
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:

2^2,3^2,5,47,5|a^2=b,e^5=g^4,c^a=cd,d^a=cd^2,e^a=e^4g,f^a=f^46,g^a=g^4,c^b=c^2,d^b=d^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42300, 94);