Finite Group Databasebeta

C2×C3×C9631 #65318721

order57786
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57786
abelianC2×C3×C9631
multiplicative(ℤ/57787)ˣ, (ℤ/115574)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57786 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57787
outer automorphism group ofC57787

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57786, 6);