Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. Q8×Dic142 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 6. #17986288 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986197 | C2 | semidirect |
| 9. C8×Dic142 | C2 | semidirect |
| 10. #17986084 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 77. Q8×C71 | #41 | semidirect |
| 99. Dic142 | SD16 | semidirect |
| 126. C71 | #3362 | semidirect |
| 137. C4×SD16 | D71 | semidirect |
| 206. Q8 | #11765865 | semidirect |