Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152296 | C2 | semidirect |
| 2. #19151999 | C2 | semidirect |
| 3. #19151925 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151901 | C2 | semidirect |
| 6. #19151835 | C2 | semidirect |
| 7. #19151834 | C2 | semidirect |
| 8. #19151680 | C2 | semidirect |
| 9. C8×C22⋊D89 | C2 | semidirect |
| 10. #19151635 | C2 | semidirect |
| 11. C2×#107×C89 | C2 | semidirect |
| 121. C89 | #3339 | semidirect |
| 132. C2×#107 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152296 | 2 |
| #19151999 | 2 |
| #19151925 | 2 |
| #19151916 | 2 |
| #19151901 | 2 |
| #19151835 | 2 |
| #19151834 | 2 |
| #19151680 | 2 |
| C8×C22⋊D89 | 2 |
| #19151635 | 2 |
| C2×#107×C89 | 2 |
| #3339 | 89 |