Finite Group Databasebeta

#53753602

order42420
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

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:

2^2,5,3,7,101|e^a=e^6,f^a=f^100,d^b=d^2,e^b=e^6,f^c=f^95

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42420, 53);