Finite Group Databasebeta

C3×C4×C5×C13×C53 #52633549

order41340
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41340
abelianC3×C4×C5×C13×C53
multiplicative(ℤ/41341)ˣ, (ℤ/82682)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41340 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41341
outer automorphism group ofC41341

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41340, 1);