Finite Group Databasebeta

C2×C7×C13×C17×C19 #67547060

order58786
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58786
abelianC2×C7×C13×C17×C19
multiplicative(ℤ/58787)ˣ, (ℤ/117574)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58786 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58787
outer automorphism group ofC58787

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58786, 1);