Finite Group Databasebeta

C2×C3×C17×C409 #52638795

order41718
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41718
abelianC2×C3×C17×C409
multiplicative(ℤ/41719)ˣ, (ℤ/83438)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41718 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41719
outer automorphism group ofC41719

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41718, 1);