Finite Group DatabasebetaFinite Group DatabasebetaOrder 9584.
18 conjugacy classes of subgroups.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | Dic1198 | C2 | 1 | 2 | yes | maximal |
| 2 | C8×C599 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C4×C599 | C22 | 1 | 1 | yes | characteristic |
| 4 | Dic599 | — | 2 | 2 | no | — |
| 5 | C2×C599 | D4 | 1 | 1 | yes | characteristic |
| 6 | C599 | Q16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 7 | Q16 | — | 599 | 1 | no | maximal, Sylow |
| 8 | Q8 | — | 599 | 2 | no | — |
| 9 | C8 | D599 | 1 | 1 | yes | characteristic |
| 10 | C4 | — | 1198 | 2 | no | — |
| 11 | C4 | C2×D599 | 1 | 1 | yes | characteristic |
| 12 | C2 | D2396 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. C599 | Q16 | semidirect |