Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19152153 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 4. #19151900 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151888 | C2 | semidirect |
| 7. #19151875 | C2 | semidirect |
| 8. #19151639 | C2 | semidirect |
| 9. #19151620 | C2 | semidirect |
| 11. #474×C89 | C2 | semidirect |
| 15. #15668012 | C22 | semidirect |
| 16. #15668003 | C22 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667944 | C22 | semidirect |
| 32. #15667943 | C22 | semidirect |
| 33. C4⋊#10623494 | C22 | semidirect |
| 34. #15667941 | C22 | semidirect |
| 38. C4⋊Q8×C89 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. C4⋊C8×C89 | C22 | semidirect |
| 48. D4×D89 | Q8 | semidirect |
| 145. C89 | #3077 | semidirect |
| 153. #474 | D89 | semidirect |
| 161. C4⋊Q8 | C2×D89 | semidirect |
| 178. #107 | C2×D89 | semidirect |
| 183. C4⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×D4×D89 | 2 |
| #19151901 | 2 |
| #19151900 | 2 |
| #19151889 | 2 |
| #19151888 | 2 |
| #19151875 | 2 |
| #19151639 | 2 |
| #19151620 | 2 |
| #19151601 | 2 |
| #474×C89 | 2 |
| #3077 | 89 |