Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 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. #19152311 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151924 | C2 | semidirect |
| 4. #19151922 | C2 | semidirect |
| 5. #19151887 | 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. #427×C89 | C2 | semidirect |
| 121. C89 | #3341 | semidirect |
| 132. #427 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152311 | 2 |
| #19152002 | 2 |
| #19151924 | 2 |
| #19151922 | 2 |
| #19151887 | 2 |
| #19151835 | 2 |
| #19151834 | 2 |
| #19151680 | 2 |
| C8×C22⋊D89 | 2 |
| #19151635 | 2 |
| #427×C89 | 2 |
| #3341 | 89 |