Finite Group Databasebeta

#56024932

order44436
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×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|e^a=e^22,f^a=f^22,d^b=d^6,d^c=d^2,e^c=e^9f^15,f^c=e^20f^13

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44436, 68);