Finite Group Databasebeta

D16×D443 #43248136

order28352
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productD16×D443

Splittings

FittingD16×C443 ⋊ C2
SylowC443 ⋊ C2×D16

Subgroups

subgroupG/H
centerC2D8×D443
commutator, cosocleC8×C443C23
FrattiniC8C22×D443
FittingD16×C443C2
socleC2×C443C2×D8
hypercenterD16D443
hypocenterC443C2×D16
LCSG ▷ C8×C443 ▷ C4×C443 ▷ C2×C443 ▷ C443
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ D16

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7088

Conjugacy classes & character table

2453 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 968);