Finite Group Databasebeta

C2×C19×C1097 #52638285

order41686
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41686
abelianC2×C19×C1097
multiplicative(ℤ/41687)ˣ, (ℤ/83374)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41686 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41687
outer automorphism group ofC41687

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41686, 4);