Finite Group Databasebeta

C2×C137×C193 #62964064

order52882
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52882
abelianC2×C137×C193
multiplicative(ℤ/52883)ˣ, (ℤ/105766)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52882 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52883
outer automorphism group ofC52883

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52882, 4);