Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152398 | C2 | semidirect |
| 2. C2×#15668038 | C2 | semidirect |
| 3. C2×#15668038 | C2 | semidirect |
| 4. #19152364 | C2 | semidirect |
| 5. #19151867 | C2 | semidirect |
| 6. #19151860 | C2 | semidirect |
| 7. #19151646 | C2 | semidirect |
| 8. #19151580 | C2 | semidirect |
| 9. C2×#100×C89 | C2 | semidirect |
| 13. #15668045 | C22 | semidirect |
| 15. #15668040 | C22 | semidirect |
| 22. C2×#13083562 | C22 | semidirect |
| 24. C2×#13083559 | C22 | semidirect |
| 25. #15668020 | C22 | semidirect |
| 30. #15667947 | C22 | semidirect |
| 31. #15667930 | C22 | semidirect |
| 32. #15667928 | C22 | semidirect |
| 36. #100×C89 | C22 | semidirect |
| 148. C89 | #3068 | semidirect |
| 157. C2×#100 | D89 | semidirect |
| 184. #100 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| C2×#15668038 | 2 |
| #19152364 | 2 |
| #19151867 | 2 |
| #19151860 | 2 |
| #19151646 | 2 |
| #19151580 | 2 |
| C2×#100×C89 | 2 |
| #3068 | 89 |