Finite Group Databasebeta

D16×D229 #28411900

order14656
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productD16×D229

Splittings

FittingD16×C229 ⋊ C2
SylowC229 ⋊ C2×D16

Subgroups

subgroupG/H
centerC2D8×D229
commutator, cosocleC8×C229C23
FrattiniC8C22×D229
FittingD16×C229C2
socleC2×C229C2×D8
hypercenterD16D229
hypocenterC229C2×D16
LCSG ▷ C8×C229 ▷ C4×C229 ▷ C2×C229 ▷ C229
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ D16

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3664

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14656, 968);