Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#15667991 | C2 | semidirect |
| 3. #19151929 | C2 | semidirect |
| 4. #19151917 | C2 | semidirect |
| 5. #19151827 | C2 | semidirect |
| 6. #19151751 | C2 | semidirect |
| 7. #19151739 | C2 | semidirect |
| 8. C2×C22⋊C8×C89 | C2 | semidirect |
| 9. C22×Dic178 | C22 | semidirect |
| 12. C2×#13083563 | C22 | semidirect |
| 16. #15667991 | C22 | semidirect |
| 22. C2×C4⋊Dic89 | C22 | semidirect |
| 26. #15667944 | C22 | semidirect |
| 27. #15667937 | C22 | semidirect |
| 28. #15667934 | C22 | semidirect |
| 30. C22×C8×C89 | C22 | semidirect |
| 32. C22⋊C8×C89 | C22 | semidirect |
| 69. C23×C89 | SD16 | semidirect |
| 130. C89 | #3187 | semidirect |
| 138. C2×C22⋊C8 | D89 | semidirect |
| 144. C22×C8 | C2×D89 | semidirect |
| 162. C22⋊C8 | C2×D89 | semidirect |
| 203. C23 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| C2×#15667986 | 2 |
| #19151929 | 2 |
| #19151917 | 2 |
| #19151827 | 2 |
| #19151751 | 2 |
| #19151739 | 2 |
| C2×C22⋊C8×C89 | 2 |
| #3187 | 89 |