Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
422 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19151671 | C2 | semidirect |
| 3. #19151668 | C2 | semidirect |
| 4. C8×D356 | C2 | semidirect |
| 5. #19151663 | C2 | semidirect |
| 6. #19151659 | C2 | semidirect |
| 7. #19151563 | C2 | semidirect |
| 8. C22⋊C8×D89 | C2 | semidirect |
| 9. #433×C89 | C2 | semidirect |
| 12. C2×#13083557 | C22 | semidirect |
| 15. C2×C8×D89 | C22 | semidirect |
| 22. C4⋊#10623494 | C22 | semidirect |
| 26. #15667924 | C22 | semidirect |
| 27. #15667924 | C22 | semidirect |
| 28. #15667923 | C22 | semidirect |
| 29. C4×#10623494 | C22 | semidirect |
| 31. C4⋊C8×C89 | C22 | semidirect |
| 33. #97×C89 | C22 | semidirect |
| 34. C4×C8×C89 | C22 | semidirect |
| 115. C89 | #2977 | semidirect |
| 122. #433 | D89 | semidirect |
| 139. C4⋊C8 | C2×D89 | semidirect |
| 147. #97 | C2×D89 | semidirect |
| 149. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152110 | 2 |
| #19151671 | 2 |
| #19151668 | 2 |
| C8×D356 | 2 |
| #19151663 | 2 |
| #19151659 | 2 |
| #19151563 | 2 |
| C22⋊C8×D89 | 2 |
| #433×C89 | 2 |
| #2977 | 89 |