Finite Group Databasebeta

C4×C13177 #62963552

order52708
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52708
abelianC4×C13177
multiplicative(ℤ/52709)ˣ, (ℤ/105418)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52708 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52709
outer automorphism group ofC52709

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52708, 2);