Finite Group Databasebeta

#56024939

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,e^a=e^17f^22,f^a=e^14f^6,d^b=d^2,e^b=e^9f^15,f^b=e^20f^13,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, 75);