Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
406 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152322 | C2 | semidirect |
| 2. #19152269 | C2 | semidirect |
| 3. #19151984 | C2 | semidirect |
| 4. #19151972 | C2 | semidirect |
| 5. #19151816 | C2 | semidirect |
| 6. #19151796 | C2 | semidirect |
| 7. #19151794 | C2 | semidirect |
| 8. #19151725 | C2 | semidirect |
| 9. #19151701 | C2 | semidirect |
| 10. C4×#13083559 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 106. #10623494 | #41 | semidirect |
| 133. C89 | #3397 | semidirect |
| 139. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152322 | 2 |
| #19152269 | 2 |
| #19151984 | 2 |
| #19151972 | 2 |
| #19151816 | 2 |
| #19151796 | 2 |
| #19151794 | 2 |
| #19151725 | 2 |
| #19151701 | 2 |
| C4×#13083559 | 2 |
| #461×C89 | 2 |
| #3397 | 89 |