Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
752 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 752 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 |
|---|---|---|
| 2. C2×#15668045 | C2 | semidirect |
| 3. C22×#13083562 | C2 | semidirect |
| 4. #19152174 | C2 | semidirect |
| 5. #19151761 | C2 | semidirect |
| 6. #19151750 | C2 | semidirect |
| 7. #19151592 | C2 | semidirect |
| 8. #19151566 | C2 | semidirect |
| 9. #418×C89 | C2 | semidirect |
| 16. C22×Dic178 | C22 | semidirect |
| 21. C2×Dic356 | C22 | semidirect |
| 22. C2×#13083563 | C22 | semidirect |
| 24. C2×#13083562 | C22 | semidirect |
| 25. C22×#10623494 | C22 | semidirect |
| 29. #15667992 | C22 | semidirect |
| 30. #15667935 | C22 | semidirect |
| 31. #15667932 | C22 | semidirect |
| 32. #15667924 | C22 | semidirect |
| 34. C2×M16×C89 | C22 | semidirect |
| 35. #117×C89 | C22 | semidirect |
| 36. #102×C89 | C22 | semidirect |
| 147. C89 | #3009 | semidirect |
| 154. #418 | D89 | semidirect |
| 173. C2×M16 | C2×D89 | semidirect |
| 179. #117 | C2×D89 | semidirect |
| 182. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668057 | 2 |
| C2×#15668045 | 2 |
| C22×#13083562 | 2 |
| #19152174 | 2 |
| #19151761 | 2 |
| #19151750 | 2 |
| #19151592 | 2 |
| #19151566 | 2 |
| #418×C89 | 2 |
| #3009 | 89 |