Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152226 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 4. #19151897 | C2 | semidirect |
| 5. #19151887 | C2 | semidirect |
| 6. #19151877 | C2 | semidirect |
| 7. #19151641 | C2 | semidirect |
| 8. #19151624 | C2 | semidirect |
| 11. #427×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 17. #15668003 | C22 | semidirect |
| 26. #15667945 | C22 | semidirect |
| 27. #15667943 | C22 | semidirect |
| 28. #15667941 | C22 | semidirect |
| 29. #15667941 | C22 | semidirect |
| 37. #107×C89 | C22 | semidirect |
| 38. #107×C89 | C22 | semidirect |
| 39. #106×C89 | C22 | semidirect |
| 40. #106×C89 | C22 | semidirect |
| 45. C2×D356 | Q8 | semidirect |
| 125. C89 | #3081 | semidirect |
| 133. #427 | D89 | semidirect |
| 155. #107 | C2×D89 | semidirect |
| 156. #107 | C2×D89 | semidirect |
| 158. #106 | C2×D89 | semidirect |
| 159. #106 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152072 | 2 |
| #19151901 | 2 |
| #19151897 | 2 |
| #19151887 | 2 |
| #19151877 | 2 |
| #19151641 | 2 |
| #19151624 | 2 |
| #19151602 | 2 |
| C2×#15667934 | 2 |
| #427×C89 | 2 |
| #3081 | 89 |