Finite Group Databasebeta

SD16×D911 #44415548

order29152
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D911

Splittings

FittingSD16×C911 ⋊ C2
SylowC911 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D911
commutator, cosocleC4×C911C23
FrattiniC4C22×D911
FittingSD16×C911C2
socleC2×C911C2×D4
prime radicalD4×D911C2
hypercenterSD16D911
hypocenterC911C2×SD16
LCSG ▷ C4×C911 ▷ C2×C911 ▷ C911
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7288

Conjugacy classes & character table

3199 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29152, 158);