Finite Group Databasebeta

#56024944

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:

2,3,2,7,23^2|a^2=c,d^a=d^6,e^a=e^8f^16,f^a=e^6f^15,e^b=e^6f^13,f^b=e^2f^16,e^c=e^22,f^c=f^22

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44436, 80);