Finite Group Databasebeta

D9×#61110 #72269043

order4608
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productD9×#61110

Splittings

FittingC9×#61110 ⋊ C2
SylowC9 ⋊ C2×#61110

Subgroups

subgroupG/H
centerC2C2×D42×D9
commutator, cosocleC2×C4×C9C26
FrattiniC2×C3×C4C25×D3
FittingC9×#61110C2
socleC2×C3C2×D3×D42
hypercenter#61110D9
hypocenterC9C2×#61110
LCSG ▷ C2×C4×C9 ▷ C2×C9 ▷ C9
UCSC1 ◁ C2 ◁ C22×C4 ◁ #61110

31362 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 144

Conjugacy classes & character table

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

GAP

Past the SmallGroups library coverage — no SmallGroups id.