Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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. #19152203 | C2 | semidirect |
| 2. #19151997 | C2 | semidirect |
| 3. #19151974 | C2 | semidirect |
| 4. #19151964 | C2 | semidirect |
| 5. #19151962 | C2 | semidirect |
| 6. #19151849 | C2 | semidirect |
| 7. #19151832 | C2 | semidirect |
| 8. #19151708 | C2 | semidirect |
| 9. C4×#13083559 | C2 | semidirect |
| 10. #19151554 | C2 | semidirect |
| 11. #540×C89 | C2 | semidirect |
| 115. C89 | #3176 | semidirect |
| 117. #540 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152203 | 2 |
| #19151997 | 2 |
| #19151974 | 2 |
| #19151964 | 2 |
| #19151962 | 2 |
| #19151849 | 2 |
| #19151832 | 2 |
| #19151708 | 2 |
| C4×#13083559 | 2 |
| #19151554 | 2 |
| #540×C89 | 2 |
| #3176 | 89 |