Finite Group Databasebeta

C2×C5×C5821 #66405160

order58210
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58210
abelianC2×C5×C5821
multiplicative(ℤ/58211)ˣ, (ℤ/116422)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58210 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58211
outer automorphism group ofC58211

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58210, 6);