Finite Group Databasebeta

SD16×D787 #38737979

order25184
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D787

Splittings

FittingSD16×C787 ⋊ C2
SylowC787 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D787
commutator, cosocleC4×C787C23
FrattiniC4C22×D787
FittingSD16×C787C2
socleC2×C787C2×D4
prime radicalD4×D787C2
hypercenterSD16D787
hypocenterC787C2×SD16
LCSG ▷ C4×C787 ▷ C2×C787 ▷ C787
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6296

Conjugacy classes & character table

2765 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25184, 158);