Finite Group Databasebeta

C32×C1319 #53730079

order42208
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42208
abelianC32×C1319
multiplicative(ℤ/42209)ˣ, (ℤ/84418)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42208 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42209
outer automorphism group ofC42209

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42208, 1);