Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14556151 | C2 | semidirect |
| 2. #135×D71 | C2 | semidirect |
| 3. #17986441 | C2 | semidirect |
| 4. #17986440 | C2 | semidirect |
| 5. #17986437 | C2 | semidirect |
| 6. #17986436 | C2 | semidirect |
| 7. #17986434 | C2 | semidirect |
| 8. #17986432 | C2 | semidirect |
| 9. #17986430 | C2 | semidirect |
| 10. M32×D71 | C2 | semidirect |
| 11. #510×C71 | C2 | semidirect |
| 17. #14556151 | C22 | semidirect |
| 18. #14556151 | C22 | semidirect |
| 22. #14556147 | C22 | semidirect |
| 23. Q16×D71 | C22 | semidirect |
| 26. C2×D568 | C22 | semidirect |
| 27. D8×D71 | C22 | semidirect |
| 29. #14556074 | C22 | semidirect |
| 30. #14556073 | C22 | semidirect |
| 31. #14556071 | C22 | semidirect |
| 32. #14556071 | C22 | semidirect |
| 33. D1136 | C22 | semidirect |
| 34. #14556069 | C22 | semidirect |
| 35. #14556068 | C22 | semidirect |
| 36. #14556067 | C22 | semidirect |
| 37. C16×D71 | C22 | semidirect |
| 39. C2×Q16×C71 | C22 | semidirect |
| 40. Q32×C71 | C22 | semidirect |
| 41. SD32×C71 | C22 | semidirect |
| 42. M32×C71 | C22 | semidirect |
| 147. C71 | #3414 | semidirect |
| 152. #510 | D71 | semidirect |
| 172. C2×Q16 | C2×D71 | semidirect |
| 179. Q32 | C2×D71 | semidirect |
| 183. SD32 | C2×D71 | semidirect |
| 188. M32 | C2×D71 | semidirect |