Finite Group Databasebeta

D31×#383 #16848099

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD31×#383

Splittings

FittingC31×#383 ⋊ C2
SylowC31 ⋊ C2×#383

Subgroups

subgroupG/H
center, FrattiniC23C23×D31
commutatorC22×C31C23×C4
FittingC31×#383C2
socle, cosocleC23×C31C24
prime radicalC23×D31C23
hypercenter#383D31
hypocenterC31C2×#383
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C23 ◁ #383

624 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1984

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, 6898);