Finite Group Databasebeta

D31×#380 #16848080

order3968
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD31×#380

Splittings

FittingC31×#380 ⋊ C2
SylowC31 ⋊ C2×#380

Subgroups

subgroupG/H
center, FrattiniC23C23×D31
commutatorC22×C31C23×C4
FittingC31×#380C2
socle, cosocleC23×C31C24
prime radicalC24×D31C22
hypercenter#380D31
hypocenterC31C2×#380
LCSG ▷ C22×C31 ▷ C31
UCSC1 ◁ C23 ◁ #380

1232 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, 6879);