Finite Group Databasebeta

#53731341

order42300
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:

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

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42300, 113);