Finite Group Databasebeta

#58347151

order47068
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C41

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:

2^2,7,41^2|a^2=b,c^a=c^6,d^a=d^26e^29,e^a=d^12e^15,d^b=d^40,e^b=e^40,d^c=d^10e^32,e^c=d^2e^27

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(47068, 22);