Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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 |
|---|---|---|
| 1. #19152155 | C2 | semidirect |
| 3. #19151971 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151799 | C2 | semidirect |
| 6. #19151751 | C2 | semidirect |
| 7. #431×C89 | C2 | semidirect |
| 11. C2×#13083563 | C22 | semidirect |
| 12. #15668012 | C22 | semidirect |
| 13. #15668012 | C22 | semidirect |
| 22. C4×Dic178 | C22 | semidirect |
| 24. #15667934 | C22 | semidirect |
| 26. C4⋊C8×C89 | C22 | semidirect |
| 28. C4×C8×C89 | C22 | semidirect |
| 65. C2×C4×C89 | SD16 | semidirect |
| 105. C89 | #3208 | semidirect |
| 112. #431 | D89 | semidirect |
| 130. C4⋊C8 | C2×D89 | semidirect |
| 133. C4×C8 | C2×D89 | semidirect |
| 180. C2×C4 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| C2×#15668009 | 2 |
| #19151971 | 2 |
| #19151945 | 2 |
| #19151799 | 2 |
| #19151751 | 2 |
| #431×C89 | 2 |
| #3208 | 89 |