Finite Group Databasebeta

SD16×D977 #44530678

order31264
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D977

Splittings

FittingSD16×C977 ⋊ C2
SylowC977 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D977
commutator, cosocleC4×C977C23
FrattiniC4C22×D977
FittingSD16×C977C2
socleC2×C977C2×D4
prime radicalD4×D977C2
hypercenterSD16D977
hypocenterC977C2×SD16
LCSG ▷ C4×C977 ▷ C2×C977 ▷ C977
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7816

Conjugacy classes & character table

3430 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 158);