Finite Group Databasebeta

#53727633

order42100
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:

2^2,5^2,421|a^2=b,c^a=c^2,d^a=d^3,e^a=e^29,c^b=c^4,d^b=d^4,e^b=e^420

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42100, 64);