Finite Group Databasebeta

C2×C11×C2371 #62936982

order52162
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52162
abelianC2×C11×C2371
multiplicative(ℤ/52163)ˣ, (ℤ/104326)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52162 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52163
outer automorphism group ofC52163

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52162, 4);