Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
452 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152397 | C2 | semidirect |
| 2. C2×#15668035 | C2 | semidirect |
| 3. #131×D89 | C2 | semidirect |
| 4. #19151870 | C2 | semidirect |
| 5. #19151869 | C2 | semidirect |
| 6. #19151868 | C2 | semidirect |
| 7. #19151864 | C2 | semidirect |
| 8. #19151863 | C2 | semidirect |
| 9. #108×D89 | C2 | semidirect |
| 10. #19151581 | C2 | semidirect |
| 11. #473×C89 | C2 | semidirect |
| 25. C2×#13083561 | C22 | semidirect |
| 26. C2×D712 | C22 | semidirect |
| 37. #15667948 | C22 | semidirect |
| 38. #15667947 | C22 | semidirect |
| 39. #15667931 | C22 | semidirect |
| 40. #15667928 | C22 | semidirect |
| 41. #15667928 | C22 | semidirect |
| 43. C2×Q16×C89 | C22 | semidirect |
| 45. #108×C89 | C22 | semidirect |
| 46. #101×C89 | C22 | semidirect |
| 167. C89 | #3067 | semidirect |
| 172. #473 | D89 | semidirect |
| 193. C2×Q16 | C2×D89 | semidirect |
| 209. #108 | C2×D89 | semidirect |
| 211. #101 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152397 | 2 |
| C2×#15668035 | 2 |
| #131×D89 | 2 |
| #19151870 | 2 |
| #19151869 | 2 |
| #19151868 | 2 |
| #19151864 | 2 |
| #19151863 | 2 |
| #108×D89 | 2 |
| #19151581 | 2 |
| #473×C89 | 2 |
| #3067 | 89 |