Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
760 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 760 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 |
|---|---|---|
| 2. C2×#14556161 | C2 | semidirect |
| 3. C2×#14556158 | C2 | semidirect |
| 4. C2×#14556116 | C2 | semidirect |
| 5. #17986178 | C2 | direct (N × H) |
| 6. C2×#14556056 | C2 | semidirect |
| 7. C2×#14556044 | C2 | semidirect |
| 8. C2×#104×C71 | C2 | semidirect |
| 16. C22×Dic142 | C22 | semidirect |
| 22. #14556161 | C22 | semidirect |
| 24. #14556158 | C22 | semidirect |
| 29. C2×#11765849 | C22 | semidirect |
| 31. #14556116 | C22 | semidirect |
| 33. #14556056 | C22 | semidirect |
| 34. #14556044 | C22 | semidirect |
| 36. C2×M16×C71 | C22 | semidirect |
| 37. C2×C42×C71 | C22 | semidirect |
| 38. #104×C71 | C22 | semidirect |
| 55. C2×Dic142 | C23 | semidirect |
| 80. #11765849 | C23 | semidirect |
| 94. M16×C71 | C23 | semidirect |
| 97. C42×C71 | C23 | semidirect |
| 173. C2×C71 | #455 | semidirect |
| 178. C71 | C2×#455 | semidirect |
| 185. C2×#104 | D71 | semidirect |
| 209. C2×M16 | C2×D71 | semidirect |
| 213. C2×C42 | C2×D71 | semidirect |
| 215. #104 | C2×D71 | semidirect |
| 270. M16 | C22×D71 | semidirect |
| 275. C42 | C22×D71 | semidirect |
| 353. C2 | #17986178 | direct (N × H) |