Finite Group Databasebeta

#52638596

order41700
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C5

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:

2^2,3,5^2,139|f^a=f^138,d^b=d^4,e^b=e^4,d^c=de^3,e^c=d^4e^3,f^c=f^42

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41700, 71);