Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152305 | C2 | semidirect |
| 2. #19152269 | C2 | semidirect |
| 3. #19151961 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151901 | C2 | semidirect |
| 6. #19151888 | C2 | semidirect |
| 7. #19151793 | C2 | semidirect |
| 8. #19151791 | C2 | semidirect |
| 9. #19151728 | C2 | semidirect |
| 10. #19151707 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 80. D4×C89 | #41 | semidirect |
| 130. C89 | #3366 | semidirect |
| 141. C4×D8 | D89 | semidirect |
| 218. D4 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152305 | 2 |
| #19152269 | 2 |
| #19151961 | 2 |
| #19151945 | 2 |
| #19151901 | 2 |
| #19151888 | 2 |
| #19151793 | 2 |
| #19151791 | 2 |
| #19151728 | 2 |
| #19151707 | 2 |
| C4×D8×C89 | 2 |
| #3366 | 89 |