Finite Group Databasebeta

C2×C5×C6121 #69828898

order61210
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61210
abelianC2×C5×C6121
multiplicative(ℤ/61211)ˣ, (ℤ/122422)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61210 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61211
outer automorphism group ofC61211

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61210, 6);