Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
736 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19152434 | C2 | semidirect |
| 2. C2×#15668038 | C2 | semidirect |
| 3. #19151770 | C2 | semidirect |
| 4. #19151765 | C2 | semidirect |
| 5. #19151616 | C2 | semidirect |
| 6. #19151582 | C2 | semidirect |
| 7. #535×C89 | C2 | semidirect |
| 8. #15668060 | C22 | semidirect |
| 12. #15668057 | C22 | semidirect |
| 17. #15668038 | C22 | semidirect |
| 20. C2×#13083558 | C22 | semidirect |
| 21. #15667940 | C22 | semidirect |
| 22. #15667931 | C22 | semidirect |
| 23. #15667929 | C22 | semidirect |
| 25. C22×D4×C89 | C22 | semidirect |
| 26. #127×C89 | C22 | semidirect |
| 27. #124×C89 | C22 | semidirect |
| 30. #117×C89 | C22 | semidirect |
| 37. #13083574 | D4 | semidirect |
| 42. C2×Dic178 | D4 | semidirect |
| 45. C2×D356 | D4 | semidirect |
| 135. C89 | #3021 | semidirect |
| 138. #535 | D89 | semidirect |
| 152. C22×D4 | C2×D89 | semidirect |
| 158. #127 | C2×D89 | semidirect |
| 159. #124 | C2×D89 | semidirect |
| 162. #117 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| C2×#15668038 | 2 |
| #19151770 | 2 |
| #19151765 | 2 |
| #19151616 | 2 |
| #19151582 | 2 |
| #535×C89 | 2 |
| #3021 | 89 |