Finite Group Databasebeta

SD16×D1033 #45683142

order33056
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D1033

Splittings

FittingSD16×C1033 ⋊ C2
SylowC1033 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D1033
commutator, cosocleC4×C1033C23
FrattiniC4C22×D1033
FittingSD16×C1033C2
socleC2×C1033C2×D4
prime radicalD4×D1033C2
hypercenterSD16D1033
hypocenterC1033C2×SD16
LCSG ▷ C4×C1033 ▷ C2×C1033 ▷ C1033
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 8264

Conjugacy classes & character table

3626 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33056, 158);