Finite Group Databasebeta

C2×C17×C1213 #52632176

order41242
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41242
abelianC2×C17×C1213
multiplicative(ℤ/41243)ˣ, (ℤ/82486)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41242 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41243
outer automorphism group ofC41243

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41242, 4);