Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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. C2×#15668032 | C2 | semidirect |
| 2. C22×#13083557 | C2 | semidirect |
| 3. #19152110 | C2 | semidirect |
| 4. #19152105 | C2 | semidirect |
| 5. #19151855 | C2 | semidirect |
| 6. #19151850 | C2 | semidirect |
| 7. #19151847 | C2 | semidirect |
| 8. #19151843 | C2 | semidirect |
| 9. #19151634 | C2 | semidirect |
| 10. #19151595 | C2 | semidirect |
| 11. #416×C89 | C2 | semidirect |
| 15. C2×#13083564 | C22 | semidirect |
| 16. C2×#13083562 | C22 | semidirect |
| 17. C2×#13083561 | C22 | semidirect |
| 18. C2×#13083559 | C22 | semidirect |
| 34. #15667945 | C22 | semidirect |
| 35. #15667943 | C22 | semidirect |
| 36. #15667937 | C22 | semidirect |
| 37. #15667934 | C22 | semidirect |
| 41. #103×C89 | C22 | semidirect |
| 42. #102×C89 | C22 | semidirect |
| 63. C2×#10623494 | D4 | semidirect |
| 149. C89 | #3054 | semidirect |
| 160. #416 | D89 | semidirect |
| 189. #103 | C2×D89 | semidirect |
| 191. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668032 | 2 |
| C22×#13083557 | 2 |
| #19152110 | 2 |
| #19152105 | 2 |
| #19151855 | 2 |
| #19151850 | 2 |
| #19151847 | 2 |
| #19151843 | 2 |
| #19151634 | 2 |
| #19151595 | 2 |
| #416×C89 | 2 |
| #3054 | 89 |