Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
426 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 1. #19152268 | C2 | semidirect |
| 2. #19152263 | C2 | semidirect |
| 3. #19151943 | C2 | semidirect |
| 4. #19151876 | C2 | semidirect |
| 5. #19151875 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151790 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 9. C4×D712 | C2 | semidirect |
| 10. #19151678 | C2 | semidirect |
| 11. #486×C89 | C2 | semidirect |
| 97. D356 | #41 | semidirect |
| 102. Dic178 | D8 | semidirect |
| 132. C89 | #3358 | semidirect |
| 136. #486 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152268 | 2 |
| #19152263 | 2 |
| #19151943 | 2 |
| #19151876 | 2 |
| #19151875 | 2 |
| #19151792 | 2 |
| #19151790 | 2 |
| C8×Dic178 | 2 |
| C4×D712 | 2 |
| #19151678 | 2 |
| #486×C89 | 2 |
| #3358 | 89 |