Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C22×#13083561 | C2 | semidirect |
| 3. #19152072 | C2 | semidirect |
| 4. #19151810 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151625 | C2 | semidirect |
| 7. #19151607 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. #536×C89 | C2 | semidirect |
| 22. C4⋊#10623494 | C22 | semidirect |
| 23. #15667936 | C22 | semidirect |
| 24. #15667936 | C22 | semidirect |
| 25. #15667933 | C22 | semidirect |
| 28. C4⋊Q8×C89 | C22 | semidirect |
| 29. #124×C89 | C22 | semidirect |
| 117. C89 | #3042 | semidirect |
| 120. #536 | D89 | semidirect |
| 137. C4⋊Q8 | C2×D89 | semidirect |
| 138. #124 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| C22×#13083561 | 2 |
| #19152072 | 2 |
| #19151810 | 2 |
| #19151800 | 2 |
| #19151625 | 2 |
| #19151607 | 2 |
| #19151594 | 2 |
| #536×C89 | 2 |
| #3042 | 89 |