Finite Group Databasebeta

C2×C3×C5×C7×C281 #67570679

order59010
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC59010
abelianC2×C3×C5×C7×C281
multiplicative(ℤ/59011)ˣ, (ℤ/118022)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

59010 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC59011
outer automorphism group ofC59011

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(59010, 1);