Finite Group Databasebeta

#53731286

order42300
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:

2,3,5^2,47,2,3|a^2=f,b^3=g^2,b^a=b^2g,c^a=c^4,d^a=d^4,e^a=e^46,g^a=g^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, 58);