Finite Group Databasebeta

D31×#533 #16858996

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

Aliases

direct productD31×#533

Splittings

FittingC31×#533 ⋊ C2
SylowC31 ⋊ C2×#533

Subgroups

subgroupG/H
centerC2×C4C23×D31
commutator, socle, cosocleC22×C31C25
FrattiniC22C24×D31
FittingC31×#533C2
prime radicalC23×D31C23
hypercenter#533D31
hypocenterC31C2×#533
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ #533

1168 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, 17795);