Finite Group Databasebeta

C22×C9×C19×C59 #52596282

order40356
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C9×C19×C59
multiplicative(ℤ/42617)ˣ, (ℤ/60561)ˣ, (ℤ/85234)ˣ, (ℤ/121122)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40356 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40356, 13);