Finite Group Databasebeta

#59526970

order49284
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C3

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:

2^2,3^2,37^2|a^2=b,e^37=f^9,c^a=cd^2,d^a=c^2d^2,e^a=e^31f,f^a=f^31,c^b=c^2,d^b=d^2,e^b=e^36f^28,f^b=f^36

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49284, 47);