Finite Group Databasebeta

C2×C5×C6133 #69848901

order61330
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61330
abelianC2×C5×C6133
multiplicative(ℤ/61331)ˣ, (ℤ/122662)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61330 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61331
outer automorphism group ofC61331

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61330, 4);