Finite Group Databasebeta

C22⋊C9×C983 #47978143

order35388
automorphism?
homologyAbelianization (H1) = C9×C983 · Schur multiplier (H2) = C2

Aliases

direct productC22⋊C9×C983
unambiguous semidirect productC22⋊(C9×C983)
unambiguous semidirect product(C22×C983)⋊C9

Splittings

derived, SylowC22 ⋊ C9×C983
HallC22×C983 ⋊ C9

Subgroups

subgroupG/H
center, hypercenterC3×C983A4
commutator, hypocenterC22C9×C983
FrattiniC3A4×C983
Fitting, socle, prime radicalC22×C3×C983C3
cosocleC22×C3C3×C983
LCSG ▷ C22
UCSC1 ◁ C3×C983

16 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17694

Conjugacy classes & character table

11796 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35388, 7);