Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
740 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 740 conjugacy classes of subgroups — too many to draw. Only its 155 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×Q16×D71 | C2 | semidirect |
| 4. #17986157 | C2 | semidirect |
| 5. #17986156 | C2 | semidirect |
| 6. #17986155 | C2 | semidirect |
| 7. #17986154 | C2 | semidirect |
| 8. #17986153 | C2 | semidirect |
| 9. #103×D71 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 22. C2×Dic284 | C22 | semidirect |
| 23. C2×#11765855 | C22 | semidirect |
| 24. C2×#11765855 | C22 | semidirect |
| 35. #14556053 | C22 | semidirect |
| 36. #14556052 | C22 | semidirect |
| 37. #14556051 | C22 | semidirect |
| 41. C2×Q16×C71 | C22 | semidirect |
| 43. #103×C71 | C22 | semidirect |
| 100. C22×D71 | Q16 | semidirect |
| 140. C22×C71 | C2×Q16 | semidirect |
| 147. C2×D71 | C2×Q16 | semidirect |
| 164. D71 | #451 | direct (N × H) |
| 166. C71 | C2×#451 | semidirect |
| 175. #451 | D71 | direct (N × H) |
| 193. C2×Q16 | C2×D71 | semidirect |
| 207. #103 | C2×D71 | semidirect |
| 313. C22 | Q16×D71 | semidirect |