Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556176 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. #17986566 | C2 | semidirect |
| 4. #17986143 | C2 | semidirect |
| 5. #17986136 | C2 | semidirect |
| 6. #17986008 | C2 | semidirect |
| 7. #17985996 | C2 | semidirect |
| 8. #17985965 | C2 | semidirect |
| 9. C22×SD16×C71 | C2 | semidirect |
| 13. C2×#11765866 | C22 | semidirect |
| 18. C2×Q8×D71 | C22 | semidirect |
| 28. #14556053 | C22 | semidirect |
| 29. #14556052 | C22 | semidirect |
| 30. #14556050 | C22 | semidirect |
| 31. (C2×D71)⋊C8 | C22 | semidirect |
| 44. #11765865 | D4 | semidirect |
| 72. C2×Q8×C71 | D4 | semidirect |
| 146. C71 | #3010 | semidirect |
| 149. C22×SD16 | D71 | semidirect |
| 200. C2×Q8 | C22⋊D71 | semidirect |