Finite Group Databasebeta

C2×C59×C457 #63017991

order53926
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC53926
abelianC2×C59×C457
multiplicative(ℤ/53927)ˣ, (ℤ/107854)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

53926 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC53927
outer automorphism group ofC53927

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(53926, 4);