Finite Group Databasebeta

C2×C19×C1559 #67571597

order59242
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC59242
abelianC2×C19×C1559
multiplicative(ℤ/59243)ˣ, (ℤ/118486)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

59242 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC59243
outer automorphism group ofC59243

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(59242, 6);