Finite Group Databasebeta

D31×#518 #16858894

order3968
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD31×#518

Splittings

FittingC31×#518 ⋊ C2
SylowC31 ⋊ C2×#518

Subgroups

subgroupG/H
center, FrattiniC22C24×D31
commutatorC2×C31C24×C4
FittingC31×#518C2
socle, cosocleC22×C31C25
prime radicalC22×D4×D31C2
hypercenter#518D31
hypocenterC31C2×#518
LCSG ▷ C2×C31 ▷ C31
UCSC1 ◁ C22 ◁ #518

1920 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 496

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 17693);