Finite Group Databasebeta

#58349043

order47236
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C7

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:

2^2,7^2,241|a^2=b,c^a=c^4d^3,d^a=c^6d^3,e^a=e^64,c^b=c^6,d^b=d^6,e^b=e^240

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(47236, 20);