Finite Group Databasebeta

#56024943

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:

2^2,3,7,23^2|a^2=b,c^a=c^2,d^a=d^6,e^a=e^9f^8,f^a=e^7f^14,e^b=e^22,f^b=f^22,e^c=e^17f^7,f^c=e^12f^5

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44436, 79);