Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152149 | C2 | semidirect |
| 2. #19152135 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 4. #19151885 | C2 | semidirect |
| 5. #19151835 | C2 | semidirect |
| 6. #19151830 | C2 | semidirect |
| 7. #19151816 | C2 | semidirect |
| 8. #19151798 | C2 | semidirect |
| 9. #19151794 | C2 | semidirect |
| 10. C4⋊C8×D89 | C2 | semidirect |
| 11. #477×C89 | C2 | semidirect |
| 142. C89 | #3247 | semidirect |
| 146. #477 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #19152135 | 2 |
| #19151901 | 2 |
| #19151885 | 2 |
| #19151835 | 2 |
| #19151830 | 2 |
| #19151816 | 2 |
| #19151798 | 2 |
| #19151794 | 2 |
| C4⋊C8×D89 | 2 |
| #477×C89 | 2 |
| #3247 | 89 |