Finite Group Databasebeta

D31×#529 #16858969

order3968
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD31×#529

Splittings

FittingC31×#529 ⋊ C2
SylowC31 ⋊ C2×#529

Subgroups

subgroupG/H
centerC2×C4C23×D31
commutator, socle, cosocleC22×C31C25
FrattiniC22C24×D31
FittingC31×#529C2
prime radical#121×D31C2
hypercenter#529D31
hypocenterC31C2×#529
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ #529

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 17768);