Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 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. #19152294 | C2 | semidirect |
| 2. #19152000 | C2 | semidirect |
| 3. #19151923 | C2 | semidirect |
| 4. #19151912 | C2 | semidirect |
| 5. #19151899 | C2 | semidirect |
| 6. #19151851 | C2 | semidirect |
| 7. C4×D712 | C2 | semidirect |
| 8. #19151640 | C2 | semidirect |
| 9. #436×C89 | C2 | semidirect |
| 103. C89 | #3355 | semidirect |
| 111. #436 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152294 | 2 |
| #19152000 | 2 |
| #19151923 | 2 |
| #19151912 | 2 |
| #19151899 | 2 |
| #19151851 | 2 |
| C4×D712 | 2 |
| #19151640 | 2 |
| #436×C89 | 2 |
| #3355 | 89 |