Finite Group Databasebeta

D31×#407 #16854144

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

Aliases

direct productD31×#407

Splittings

FittingC31×#407 ⋊ C2
SylowC31 ⋊ C2×#407

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D31
commutator, socleC22×C31C23×C4
FittingC31×#407C2
prime radicalC24×D31C4
cosocleC2×C4×C31C24
hypercenter#407D31
hypocenterC31C2×#407
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ #407

1008 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 496

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, 12943);