Finite Group Databasebeta

C4×C19×C541 #52629656

order41116
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41116
abelianC4×C19×C541
multiplicative(ℤ/41117)ˣ, (ℤ/82234)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41116 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41117
outer automorphism group ofC41117

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41116, 1);