Finite Group Databasebeta

C2×C26189 #62959443

order52378
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52378
abelianC2×C26189
multiplicative(ℤ/52379)ˣ, (ℤ/104758)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52378 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52379
outer automorphism group ofC52379

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52378, 2);