Finite Group Databasebeta

D31×#478 #16855464

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

Aliases

direct productD31×#478

Splittings

FittingC31×#478 ⋊ C2
SylowC31 ⋊ C2×#478

Subgroups

subgroupG/H
centerC22C2×D4×D31
commutator, cosocleC2×C4×C31C24
FrattiniC2×C4C23×D31
FittingC31×#478C2
socleC22×C31C22×D4
prime radicalC2×D4×D31C22
hypercenter#478D31
hypocenterC31C2×#478
LCSG ▷ C2×C4×C31 ▷ C2×C31 ▷ C31
UCSC1 ◁ C22 ◁ C42 ◁ #478

448 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 992

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 14263);