Finite Group Databasebeta

#56024912

order44436
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C23

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:

2,3,7,23^2,2|a^2=f,c^a=c^6,d^a=d^22,e^a=e^22,d^b=d^7e^17,e^b=d^21e^15

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44436, 48);