Finite Group Databasebeta

C2×C25913 #62933894

order51826
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC51826
abelianC2×C25913
multiplicative(ℤ/51827)ˣ, (ℤ/103654)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

51826 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC51827
outer automorphism group ofC51827

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(51826, 2);