Finite Group Databasebeta

C2×C3×C23×C457 #71018463

order63066
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC63066
abelianC2×C3×C23×C457
multiplicative(ℤ/63067)ˣ, (ℤ/126134)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

63066 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC63067
outer automorphism group ofC63067

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(63066, 1);