Finite Group Databasebeta

SD16×D883 #43246203

order28256
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D883

Splittings

FittingSD16×C883 ⋊ C2
SylowC883 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D883
commutator, cosocleC4×C883C23
FrattiniC4C22×D883
FittingSD16×C883C2
socleC2×C883C2×D4
prime radicalD4×D883C2
hypercenterSD16D883
hypocenterC883C2×SD16
LCSG ▷ C4×C883 ▷ C2×C883 ▷ C883
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7064

Conjugacy classes & character table

3101 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28256, 158);