Finite Group Databasebeta

C22×C5×C17×C131 #56030561

order44540
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C17×C131
multiplicative(ℤ/66813)ˣ, (ℤ/89084)ˣ, (ℤ/133626)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

44540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(44540, 13);