Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19152145 | C2 | semidirect |
| 2. #19151995 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151943 | C2 | semidirect |
| 5. #19151852 | C2 | semidirect |
| 6. #19151850 | C2 | semidirect |
| 7. #19151848 | C2 | semidirect |
| 8. #19151711 | C2 | semidirect |
| 9. #19151708 | C2 | semidirect |
| 10. #19151550 | C2 | semidirect |
| 11. #442×C89 | C2 | semidirect |
| 94. C8×C89 | #41 | semidirect |
| 96. #10623494 | #41 | semidirect |
| 119. C89 | #3184 | semidirect |
| 129. #442 | D89 | semidirect |
| 215. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152145 | 2 |
| #19151995 | 2 |
| #19151973 | 2 |
| #19151943 | 2 |
| #19151852 | 2 |
| #19151850 | 2 |
| #19151848 | 2 |
| #19151711 | 2 |
| #19151708 | 2 |
| #19151550 | 2 |
| #442×C89 | 2 |
| #3184 | 89 |