Finite Group Databasebeta

#51395751

order38700
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:

2^2,3,5,43,3,5|a^2=b,c^3=f^2,d^5=g,c^a=c^2f,d^a=d^2g,e^a=e^42,f^a=f^2,g^a=g^2,d^b=d^4g^4,g^b=g^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38700, 25);