Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
430 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986671 | C2 | semidirect |
| 2. #17986654 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986319 | C2 | semidirect |
| 5. #17986284 | C2 | semidirect |
| 6. #17986251 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986143 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17985999 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 81. Q8×C71 | #41 | semidirect |
| 135. C71 | #3332 | semidirect |
| 144. C4×SD16 | D71 | semidirect |
| 217. Q8 | #11765865 | semidirect |