Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
478 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19151531 | C2 | semidirect |
| 3. #19151529 | C2 | semidirect |
| 4. #19151526 | C2 | semidirect |
| 5. #19151524 | C2 | semidirect |
| 6. #19151520 | C2 | semidirect |
| 7. #19151517 | C2 | semidirect |
| 9. #19151509 | C2 | semidirect |
| 10. #19151458 | C2 | semidirect |
| 11. C2×C22⋊Q8×C89 | C2 | semidirect |
| 137. C89 | #2814 | semidirect |
| 139. C2×C22⋊Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| #19151531 | 2 |
| #19151529 | 2 |
| #19151526 | 2 |
| #19151524 | 2 |
| #19151520 | 2 |
| #19151517 | 2 |
| #19151513 | 2 |
| #19151509 | 2 |
| #19151458 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2814 | 89 |