Finite Group Databasebeta

C2×C19×C1361 #62931236

order51718
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC51718
abelianC2×C19×C1361
multiplicative(ℤ/51719)ˣ, (ℤ/103438)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

51718 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC51719
outer automorphism group ofC51719

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(51718, 4);