Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152226 | C2 | semidirect |
| 3. #19151904 | C2 | semidirect |
| 4. #19151901 | C2 | semidirect |
| 5. #19151887 | C2 | semidirect |
| 6. #19151882 | C2 | semidirect |
| 7. C2×#15667943 | C2 | semidirect |
| 8. #19151626 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 42. #13083574 | Q8 | semidirect |
| 124. C89 | #3084 | semidirect |
| 131. #428 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152079 | 2 |
| #19151904 | 2 |
| #19151901 | 2 |
| #19151887 | 2 |
| #19151882 | 2 |
| C2×#15667943 | 2 |
| #19151626 | 2 |
| #19151600 | 2 |
| #19151592 | 2 |
| #428×C89 | 2 |
| #3084 | 89 |