Finite Group Databasebeta

C2×C3×C5×C2011 #68738592

order60330
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC60330
abelianC2×C3×C5×C2011
multiplicative(ℤ/60331)ˣ, (ℤ/120662)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

60330 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC60331
outer automorphism group ofC60331

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(60330, 1);