Finite Group Databasebeta

SD16×D101 #15692267

order3232
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D101

Splittings

FittingSD16×C101 ⋊ C2
SylowC101 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D101
commutator, cosocleC4×C101C23
FrattiniC4C22×D101
FittingSD16×C101C2
socleC2×C101C2×D4
prime radicalD4×D101C2
hypercenterSD16D101
hypocenterC101C2×SD16
LCSG ▷ C4×C101 ▷ C2×C101 ▷ C101
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 808

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3232, 158);