Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152133 | C2 | semidirect |
| 2. #19151982 | C2 | semidirect |
| 3. #19151955 | C2 | semidirect |
| 4. #19151840 | C2 | semidirect |
| 6. #19151828 | C2 | semidirect |
| 7. #19151692 | C2 | semidirect |
| 8. #19151685 | C2 | semidirect |
| 9. #19151680 | C2 | semidirect |
| 10. C4×C8×D89 | C2 | semidirect |
| 11. #499×C89 | C2 | semidirect |
| 119. C89 | #3168 | semidirect |
| 121. #499 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152133 | 2 |
| #19151982 | 2 |
| #19151955 | 2 |
| #19151840 | 2 |
| #19151835 | 2 |
| #19151828 | 2 |
| #19151692 | 2 |
| #19151685 | 2 |
| #19151680 | 2 |
| C4×C8×D89 | 2 |
| #499×C89 | 2 |
| #3168 | 89 |