Finite Group Databasebeta

C2×C26111 #62937155

order52222
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52222
abelianC2×C26111
multiplicative(ℤ/52223)ˣ, (ℤ/104446)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52222 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52223
outer automorphism group ofC52223

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52222, 2);