Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19151939 | C2 | semidirect |
| 3. #19151933 | C2 | semidirect |
| 4. #19151928 | C2 | semidirect |
| 5. #19151922 | C2 | semidirect |
| 6. #19151916 | C2 | semidirect |
| 7. #19151911 | C2 | semidirect |
| 8. #19151634 | C2 | semidirect |
| 9. #19151592 | C2 | semidirect |
| 10. C2×C22⋊#10623494 | C2 | semidirect |
| 11. C2×#117×C89 | C2 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667945 | C22 | semidirect |
| 25. #15667943 | C22 | semidirect |
| 26. #15667943 | C22 | semidirect |
| 27. #15667935 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 29. #15667932 | C22 | semidirect |
| 30. #15667932 | C22 | semidirect |
| 144. C89 | #3091 | semidirect |
| 146. C2×#117 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152109 | 2 |
| #19151939 | 2 |
| #19151933 | 2 |
| #19151928 | 2 |
| #19151922 | 2 |
| #19151916 | 2 |
| #19151911 | 2 |
| #19151634 | 2 |
| #19151592 | 2 |
| C2×C22⋊#10623494 | 2 |
| C2×#117×C89 | 2 |
| #3091 | 89 |