Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 410 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. #19152146 | C2 | semidirect |
| 2. #19152127 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19151962 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151831 | C2 | semidirect |
| 7. #19151824 | C2 | semidirect |
| 8. #19151710 | C2 | semidirect |
| 9. #19151699 | C2 | semidirect |
| 10. #97×D89 | C2 | semidirect |
| 11. #496×C89 | C2 | semidirect |
| 109. C8×C89 | #41 | semidirect |
| 138. C89 | #3180 | semidirect |
| 142. #496 | D89 | semidirect |
| 248. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19152127 | 2 |
| #19152007 | 2 |
| #19151962 | 2 |
| #19151957 | 2 |
| #19151831 | 2 |
| #19151824 | 2 |
| #19151710 | 2 |
| #19151699 | 2 |
| #97×D89 | 2 |
| #496×C89 | 2 |
| #3180 | 89 |