Finite Group Databasebeta

C2×C5×C7×C829 #65319717

order58030
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58030
abelianC2×C5×C7×C829
multiplicative(ℤ/58031)ˣ, (ℤ/116062)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58030 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58031
outer automorphism group ofC58031

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58030, 1);