Finite Group Databasebeta

C2×C89×C229 #52623907

order40762
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40762
abelianC2×C89×C229
multiplicative(ℤ/40763)ˣ, (ℤ/81526)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40762 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40763
outer automorphism group ofC40763

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40762, 4);