Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 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. #17986670 | C2 | semidirect |
| 2. D4×Dic142 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 6. #17986278 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986192 | C2 | semidirect |
| 9. C8×Dic142 | C2 | semidirect |
| 10. #17986079 | C2 | semidirect |
| 11. C4×D8×C71 | C2 | semidirect |
| 81. D4×C71 | #41 | semidirect |
| 102. Dic142 | D8 | semidirect |
| 132. C71 | #3358 | semidirect |
| 143. C4×D8 | D71 | semidirect |
| 222. D4 | #11765865 | semidirect |