Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
364 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #17986556 | C2 | semidirect |
| 2. #17986409 | C2 | semidirect |
| 3. #17986394 | C2 | semidirect |
| 4. #17986369 | C2 | semidirect |
| 5. #17986358 | C2 | semidirect |
| 6. #17986255 | C2 | semidirect |
| 8. C4×#11765855 | C2 | semidirect |
| 9. C4×#11765853 | C2 | semidirect |
| 10. C4×#11765849 | C2 | semidirect |
| 130. C71 | #3172 | semidirect |