Finite Group Databasebeta

SD16×D967 #44526133

order30944
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D967

Splittings

FittingSD16×C967 ⋊ C2
SylowC967 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D967
commutator, cosocleC4×C967C23
FrattiniC4C22×D967
FittingSD16×C967C2
socleC2×C967C2×D4
prime radicalD4×D967C2
hypercenterSD16D967
hypocenterC967C2×SD16
LCSG ▷ C4×C967 ▷ C2×C967 ▷ C967
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7736

Conjugacy classes & character table

3395 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30944, 158);