Finite Group Databasebeta

C2×C3×C8423 #61797495

order50538
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50538
abelianC2×C3×C8423
multiplicative(ℤ/50539)ˣ, (ℤ/101078)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50538 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50539
outer automorphism group ofC50539

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50538, 4);