Finite Group Databasebeta

C157×C256 #51478334

order40192
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40192
abelianC157×C256
multiplicative(ℤ/40193)ˣ, (ℤ/80386)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40192 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40193
outer automorphism group ofC40193

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40192, 1);