Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152149 | C2 | semidirect |
| 2. #19152145 | C2 | semidirect |
| 3. #19151984 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151794 | C2 | semidirect |
| 7. #19151793 | C2 | semidirect |
| 8. #19151746 | C2 | semidirect |
| 9. #19151742 | C2 | semidirect |
| 10. #19151654 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 154. C89 | #3214 | semidirect |
| 160. #461 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #19152145 | 2 |
| #19151984 | 2 |
| #19151959 | 2 |
| #19151800 | 2 |
| #19151794 | 2 |
| #19151793 | 2 |
| #19151746 | 2 |
| #19151742 | 2 |
| #19151654 | 2 |
| #461×C89 | 2 |
| #3214 | 89 |