Finite Group Databasebeta

#59527004

order49284
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C37

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:

2^2,3,37^2,3|a^2=b,c^3=f^2,c^a=c^2f,d^a=d^27e^10,e^a=de^10,f^a=f^2,d^b=d^36,e^b=e^36,d^c=d^26e^12,e^c=e^10

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49284, 81);