Finite Group Databasebeta

SD16×D947 #44476262

order30304
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productSD16×D947

Splittings

FittingSD16×C947 ⋊ C2
SylowC947 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC2D4×D947
commutator, cosocleC4×C947C23
FrattiniC4C22×D947
FittingSD16×C947C2
socleC2×C947C2×D4
prime radicalD4×D947C2
hypercenterSD16D947
hypocenterC947C2×SD16
LCSG ▷ C4×C947 ▷ C2×C947 ▷ C947
UCSC1 ◁ C2 ◁ C4 ◁ SD16

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7576

Conjugacy classes & character table

3325 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30304, 158);