Finite Group Databasebeta

C2×C3×C13×C691 #63017877

order53898
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53898
abelianC2×C3×C13×C691
multiplicative(ℤ/53899)ˣ, (ℤ/107798)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53898 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53899
outer automorphism group ofC53899

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53898, 1);