Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14556158 | C2 | semidirect |
| 2. C2×M16×D71 | C2 | semidirect |
| 4. C2×#14556108 | C2 | semidirect |
| 5. #17986256 | C2 | semidirect |
| 6. #17986244 | C2 | semidirect |
| 7. #17986239 | C2 | semidirect |
| 8. #17986227 | C2 | semidirect |
| 9. #17986039 | C2 | semidirect |
| 10. #17986009 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 15. C2×#11765855 | C22 | semidirect |
| 16. C2×#11765853 | C22 | semidirect |
| 36. #14556061 | C22 | semidirect |
| 37. #14556059 | C22 | semidirect |
| 38. #14556053 | C22 | semidirect |
| 39. #14556053 | C22 | semidirect |
| 43. #103×C71 | C22 | semidirect |
| 44. #102×C71 | C22 | semidirect |
| 62. #11765849 | D4 | semidirect |
| 145. C2×D71 | #137 | semidirect |
| 164. C71 | #3056 | semidirect |
| 175. #417 | D71 | semidirect |
| 207. #103 | C2×D71 | semidirect |
| 208. #102 | C2×D71 | semidirect |