Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152309 | C2 | semidirect |
| 3. #19151930 | C2 | semidirect |
| 4. #19151918 | C2 | semidirect |
| 5. #19151885 | C2 | semidirect |
| 6. #19151880 | C2 | semidirect |
| 7. #19151828 | C2 | semidirect |
| 8. C4×#13083563 | C2 | semidirect |
| 9. C8×D356 | C2 | semidirect |
| 10. #106×D89 | C2 | semidirect |
| 11. #498×C89 | C2 | semidirect |
| 90. D356 | SD16 | semidirect |
| 99. C8×C89 | #41 | semidirect |
| 124. C89 | #3335 | semidirect |
| 127. #498 | D89 | semidirect |
| 224. C8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| #19152251 | 2 |
| #19151930 | 2 |
| #19151918 | 2 |
| #19151885 | 2 |
| #19151880 | 2 |
| #19151828 | 2 |
| C4×#13083563 | 2 |
| C8×D356 | 2 |
| #106×D89 | 2 |
| #498×C89 | 2 |
| #3335 | 89 |