Finite Group Databasebeta

C8×C5237 #53725880

order41896
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41896
abelianC8×C5237
multiplicative(ℤ/41897)ˣ, (ℤ/83794)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41896 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41897
outer automorphism group ofC41897

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41896, 1);