Finite Group Databasebeta

C2×C5×C6151 #69849392

order61510
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61510
abelianC2×C5×C6151
multiplicative(ℤ/61511)ˣ, (ℤ/123022)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61510 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61511
outer automorphism group ofC61511

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61510, 6);