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 |
|---|---|---|
| 1. #19152226 | C2 | semidirect |
| 3. #19151906 | C2 | semidirect |
| 4. #19151899 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151884 | C2 | semidirect |
| 7. #19151640 | C2 | semidirect |
| 8. C2×#15667944 | C2 | semidirect |
| 11. #424×C89 | C2 | semidirect |
| 42. #13083574 | Q8 | semidirect |
| 124. C89 | #3084 | semidirect |
| 133. #424 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152078 | 2 |
| #19151906 | 2 |
| #19151899 | 2 |
| #19151889 | 2 |
| #19151884 | 2 |
| #19151640 | 2 |
| C2×#15667944 | 2 |
| #19151600 | 2 |
| #19151595 | 2 |
| #424×C89 | 2 |
| #3084 | 89 |