Finite Group Databasebeta

SD16×D103 #15693033

order3296
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D103

Splittings

FittingSD16×C103 ⋊ C2
SylowC103 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D103
commutator, cosocleC4×C103C23
FrattiniC4C22×D103
FittingSD16×C103C2
socleC2×C103C2×D4
prime radicalD4×D103C2
hypercenterSD16D103
hypocenterC103C2×SD16
LCSG ▷ C4×C103 ▷ C2×C103 ▷ C103
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 824

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3296, 158);