Finite Group Databasebeta

#56086409

order45486
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

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:

2,3^2,7,19^2|b^3=c,e^19=f^18,d^a=d^6,e^a=e^18f,f^a=f^18,e^b=e^4f^14,f^b=f^4,e^c=e^7f^4,f^c=f^7

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45486, 36);