Finite Group Databasebeta

C2×C3×C9643 #65318964

order57858
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57858
abelianC2×C3×C9643
multiplicative(ℤ/57859)ˣ, (ℤ/115718)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57858 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57859
outer automorphism group ofC57859

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57858, 6);