Finite Group Databasebeta

C2×C3×C19×C509 #65319704

order58026
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58026
abelianC2×C3×C19×C509
multiplicative(ℤ/58027)ˣ, (ℤ/116054)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58026 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58027
outer automorphism group ofC58027

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58026, 1);