Finite Group Databasebeta

D31×#423 #16854263

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD31×#423

Splittings

FittingC31×#423 ⋊ C2
SylowC31 ⋊ C2×#423

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D31
commutator, socleC22×C31C23×C4
FittingC31×#423C2
prime radicalC23×D31C2×C4
cosocleC2×C4×C31C24
hypercenter#423D31
hypocenterC31C2×#423
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C2×C4 ◁ #423

576 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, 13062);