Finite Group Databasebeta

SD16×D773 #37613002

order24736
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D773

Splittings

FittingSD16×C773 ⋊ C2
SylowC773 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D773
commutator, cosocleC4×C773C23
FrattiniC4C22×D773
FittingSD16×C773C2
socleC2×C773C2×D4
prime radicalD4×D773C2
hypercenterSD16D773
hypocenterC773C2×SD16
LCSG ▷ C4×C773 ▷ C2×C773 ▷ C773
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6184

Conjugacy classes & character table

2716 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24736, 158);