Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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 |
|---|---|---|
| 1. C2×#14556158 | C2 | semidirect |
| 2. C2×#14556153 | C2 | semidirect |
| 3. C22×#11765854 | C2 | semidirect |
| 4. #17986570 | C2 | semidirect |
| 5. #17986563 | C2 | semidirect |
| 6. #17986392 | C2 | semidirect |
| 7. #17986387 | C2 | semidirect |
| 8. #17986380 | C2 | semidirect |
| 9. #17986370 | C2 | semidirect |
| 10. #17985954 | C2 | semidirect |
| 11. C2×#135×C71 | C2 | semidirect |
| 16. C2×#11765855 | C22 | semidirect |
| 20. C2×#11765853 | C22 | semidirect |
| 24. #14556126 | C22 | semidirect |
| 27. #14556115 | C22 | semidirect |
| 33. #14556038 | C22 | semidirect |
| 34. C8×Dic71 | C22 | semidirect |
| 38. C2×Q16×C71 | C22 | semidirect |
| 39. C2×SD16×C71 | C22 | semidirect |
| 40. C2×SD16×C71 | C22 | semidirect |
| 41. C2×D8×C71 | C22 | semidirect |
| 60. #11765849 | D4 | semidirect |
| 85. C2×C8×C71 | D4 | semidirect |
| 149. C71 | #3154 | semidirect |
| 152. C2×#135 | D71 | semidirect |
| 169. C2×Q16 | C2×D71 | semidirect |
| 175. C2×SD16 | C2×D71 | semidirect |
| 176. C2×SD16 | C2×D71 | semidirect |
| 178. C2×D8 | C2×D71 | semidirect |
| 228. C2×C8 | C22⋊D71 | semidirect |