Finite Group Databasebeta

#52623215

order40700
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:

2^2,5,11,37,5|a^2=b,c^5=f,c^a=c^2f,d^a=d^10,e^a=e^6,f^a=f^2,c^b=c^4f^4,e^b=e^36,f^b=f^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40700, 30);