Finite Group Databasebeta

C2×C20411 #52624537

order40822
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40822
abelianC2×C20411
multiplicative(ℤ/40823)ˣ, (ℤ/81646)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40822 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40823
outer automorphism group ofC40823

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40822, 2);