Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152132 | C2 | semidirect |
| 2. #19151980 | C2 | semidirect |
| 3. #19151952 | C2 | semidirect |
| 4. #19151817 | C2 | semidirect |
| 5. #19151810 | C2 | semidirect |
| 6. #19151754 | C2 | semidirect |
| 7. #19151749 | C2 | semidirect |
| 8. #19151737 | C2 | semidirect |
| 10. #19151651 | C2 | semidirect |
| 11. C2×#124×C89 | C2 | semidirect |
| 12. C2×#13083564 | C22 | semidirect |
| 14. C2×#13083561 | C22 | semidirect |
| 17. #15668004 | C22 | semidirect |
| 18. #15668000 | C22 | semidirect |
| 22. C4×Dic178 | C22 | semidirect |
| 23. C4×D356 | C22 | semidirect |
| 26. C4⋊#10623494 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 28. #15667936 | C22 | semidirect |
| 33. C4×#10623494 | C22 | semidirect |
| 144. C89 | #3211 | semidirect |
| 146. C2×#124 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151980 | 2 |
| #19151952 | 2 |
| #19151817 | 2 |
| #19151810 | 2 |
| #19151754 | 2 |
| #19151749 | 2 |
| #19151737 | 2 |
| #19151732 | 2 |
| #19151651 | 2 |
| C2×#124×C89 | 2 |
| #3211 | 89 |