Finite Group Databasebeta

C4×C29×C353 #52625846

order40948
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40948
abelianC4×C29×C353
multiplicative(ℤ/40949)ˣ, (ℤ/81898)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

40948 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40949
outer automorphism group ofC40949

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40948, 1);