Finite Group Databasebeta

C2×C3×C11×C13×C67 #65313497

order57486
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57486
abelianC2×C3×C11×C13×C67
multiplicative(ℤ/57487)ˣ, (ℤ/114974)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57486 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57487
outer automorphism group ofC57487

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57486, 1);