Finite Group Databasebeta

C32×C1571 #60678752

order50272
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50272
abelianC32×C1571
multiplicative(ℤ/50273)ˣ, (ℤ/100546)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50272 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50273
outer automorphism group ofC50273

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50272, 1);