Finite Group Databasebeta

C2×C26573 #62968317

order53146
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53146
abelianC2×C26573
multiplicative(ℤ/53147)ˣ, (ℤ/106294)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53146 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53147
outer automorphism group ofC53147

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53146, 2);