Finite Group Databasebeta

C4×C49×C211 #52633813

order41356
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41356
abelianC4×C49×C211
multiplicative(ℤ/41357)ˣ, (ℤ/82714)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41356 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41357
outer automorphism group ofC41357

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41356, 1);