Finite Group Databasebeta

C22×C5×C7×C289 #52598978

order40460
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2

Aliases

abelianC22×C5×C7×C289
multiplicative(ℤ/60693)ˣ, (ℤ/80924)ˣ, (ℤ/121386)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40460 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40460, 9);