Finite Group Databasebeta

SD16×#6090 #15774686

order3328
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productSD16×#6090

Splittings

SylowC13 ⋊ C16×SD16

Subgroups

subgroupG/H
centerC2×C8D4×D13
commutatorC4×C13C22×C16
FrattiniC4×C8C22×D13
FittingC8×C13×SD16C2
socleC22×C13C8×D4
prime radicalC2×D4×C13C2×C8
cosocleC4×C8×C13C23
hypercenterC8×SD16D13
hypocenterC13C16×SD16
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ C8×SD16

238 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 81335);