Finite Group Databasebeta

C113×C389 #54880383

order43957
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 43456
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC43957
abelianC113×C389

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

43957 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43957, 1);