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×#14556175 | C2 | semidirect |
| 2. C2×#14556153 | C2 | semidirect |
| 3. C22×#11765854 | C2 | semidirect |
| 4. #17986568 | C2 | semidirect |
| 5. #17986145 | C2 | semidirect |
| 6. #17986139 | C2 | semidirect |
| 7. #17986007 | C2 | semidirect |
| 8. #17985965 | C2 | semidirect |
| 9. #416×C71 | C2 | semidirect |
| 15. C2×#11765864 | C22 | semidirect |
| 18. C2×Q8×D71 | C22 | semidirect |
| 30. #14556051 | C22 | semidirect |
| 31. (C2×D71)⋊C8 | C22 | semidirect |
| 35. #103×C71 | C22 | semidirect |
| 36. #102×C71 | C22 | semidirect |
| 49. C2×Dic142 | D4 | semidirect |
| 72. #41×C71 | D4 | semidirect |
| 146. C71 | #3010 | semidirect |
| 154. #416 | D71 | semidirect |
| 180. #103 | C2×D71 | semidirect |
| 181. #102 | C2×D71 | semidirect |
| 191. #41 | D284 | semidirect |