Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
416 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 2. #19151935 | C2 | semidirect |
| 3. #19151932 | C2 | semidirect |
| 4. #19151839 | C2 | semidirect |
| 5. #19151837 | C2 | semidirect |
| 6. #19151755 | C2 | semidirect |
| 7. #19151752 | C2 | semidirect |
| 9. #467×C89 | C2 | semidirect |
| 12. C2×Dic356 | C22 | semidirect |
| 13. C2×#13083564 | C22 | semidirect |
| 23. #15667946 | C22 | semidirect |
| 24. #15667945 | C22 | semidirect |
| 25. #15667937 | C22 | semidirect |
| 26. #15667936 | C22 | semidirect |
| 27. #15667935 | C22 | semidirect |
| 30. C2×Q16×C89 | C22 | semidirect |
| 33. #107×C89 | C22 | semidirect |
| 34. #103×C89 | C22 | semidirect |
| 71. C22×D89 | Q16 | semidirect |
| 118. C89 | #3189 | semidirect |
| 124. #467 | D89 | semidirect |
| 132. C2×Q16 | C2×D89 | semidirect |
| 146. #107 | C2×D89 | semidirect |
| 150. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊Q8×D89 | 2 |
| #19151935 | 2 |
| #19151932 | 2 |
| #19151839 | 2 |
| #19151837 | 2 |
| #19151755 | 2 |
| #19151752 | 2 |
| C2×#15667924 | 2 |
| #467×C89 | 2 |
| #3189 | 89 |