Finite Group Databasebeta

#58347642

order47100
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:

2,3,2,5^2,157|a^2=c,d^a=d^2,e^a=e^2,f^a=f^156,d^b=de,e^b=d^2e^3,f^b=f^12,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(47100, 96);