Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
754 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#15668043 | C2 | semidirect |
| 3. #19151758 | C2 | semidirect |
| 4. #19151753 | C2 | semidirect |
| 5. #19151748 | C2 | semidirect |
| 6. #19151597 | C2 | semidirect |
| 7. #19151562 | C2 | semidirect |
| 8. C2×C22⋊Q8×C89 | C2 | semidirect |
| 19. C2×#13083564 | C22 | semidirect |
| 20. C2×#13083561 | C22 | semidirect |
| 21. C2×#13083558 | C22 | semidirect |
| 22. #15667935 | C22 | semidirect |
| 23. #15667932 | C22 | semidirect |
| 25. C22⋊#10623494 | C22 | semidirect |
| 26. C22×Q8×C89 | C22 | semidirect |
| 31. C22⋊Q8×C89 | C22 | semidirect |
| 33. C2×C4⋊C4×C89 | C22 | semidirect |
| 126. C22×C89 | #137 | semidirect |
| 147. C89 | #3007 | semidirect |
| 150. C2×C22⋊Q8 | D89 | semidirect |
| 162. C22×Q8 | C2×D89 | semidirect |
| 174. C22⋊Q8 | C2×D89 | semidirect |
| 176. C2×C4⋊C4 | C2×D89 | semidirect |
| 277. C22 | #15668043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083574 | 2 |
| C2×#15668043 | 2 |
| #19151758 | 2 |
| #19151753 | 2 |
| #19151748 | 2 |
| #19151597 | 2 |
| #19151562 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #3007 | 89 |