Finite Group Databasebeta

C2×C26993 #63018196

order53986
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53986
abelianC2×C26993
multiplicative(ℤ/53987)ˣ, (ℤ/107974)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53986 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53987
outer automorphism group ofC53987

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53986, 2);