Finite Group Databasebeta

C8×C7247 #65319576

order57976
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57976
abelianC8×C7247
multiplicative(ℤ/57977)ˣ, (ℤ/115954)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57976 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57977
outer automorphism group ofC57977

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57976, 1);