Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19151946 | C2 | semidirect |
| 3. #19151911 | C2 | semidirect |
| 4. #19151890 | C2 | semidirect |
| 5. #19151846 | C2 | semidirect |
| 6. #19151798 | C2 | semidirect |
| 7. #19151758 | C2 | semidirect |
| 8. C4×#13083564 | C2 | semidirect |
| 9. #19151676 | C2 | semidirect |
| 10. #19151597 | C2 | semidirect |
| 11. #554×C89 | C2 | semidirect |
| 129. C89 | #3333 | semidirect |
| 130. #554 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152269 | 2 |
| #19151946 | 2 |
| #19151911 | 2 |
| #19151890 | 2 |
| #19151846 | 2 |
| #19151798 | 2 |
| #19151758 | 2 |
| C4×#13083564 | 2 |
| #19151676 | 2 |
| #19151597 | 2 |
| #554×C89 | 2 |
| #3333 | 89 |