Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 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. #17986551 | C2 | semidirect |
| 3. #17986392 | C2 | semidirect |
| 4. #17986360 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986223 | C2 | semidirect |
| 7. #17986155 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 13. C2×#11765855 | C22 | semidirect |
| 16. #14556127 | C22 | semidirect |
| 17. #14556126 | C22 | semidirect |
| 25. Q8×Dic71 | C22 | semidirect |
| 27. #14556093 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556052 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 39. C2×Q16×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 140. C71 | #3215 | semidirect |
| 148. #451 | D71 | semidirect |
| 155. C2×Q16 | C2×D71 | semidirect |
| 177. #103 | C2×D71 | semidirect |