Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 2. #19151902 | C2 | semidirect |
| 3. #19151895 | C2 | semidirect |
| 4. #19151885 | C2 | semidirect |
| 5. #19151880 | C2 | semidirect |
| 6. #19151641 | C2 | semidirect |
| 7. C2×#15667943 | C2 | semidirect |
| 8. #19151625 | C2 | semidirect |
| 11. #544×C89 | C2 | semidirect |
| 42. #13083574 | Q8 | semidirect |
| 124. C89 | #3084 | semidirect |
| 125. #544 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152078 | 2 |
| #19151902 | 2 |
| #19151895 | 2 |
| #19151885 | 2 |
| #19151880 | 2 |
| #19151641 | 2 |
| C2×#15667943 | 2 |
| #19151625 | 2 |
| #19151597 | 2 |
| #19151592 | 2 |
| #544×C89 | 2 |
| #3084 | 89 |