Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
412 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152153 | C2 | semidirect |
| 3. #19151996 | C2 | semidirect |
| 4. #19151948 | C2 | semidirect |
| 5. #19151944 | C2 | semidirect |
| 6. #19151824 | C2 | semidirect |
| 7. SD16×Dic89 | C2 | semidirect |
| 8. C4×C8×D89 | C2 | semidirect |
| 9. #492×C89 | C2 | semidirect |
| 86. C4×D89 | SD16 | semidirect |
| 89. C8×C89 | #41 | semidirect |
| 113. C89 | #3167 | semidirect |
| 117. #492 | D89 | semidirect |
| 203. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152146 | 2 |
| #19151996 | 2 |
| #19151948 | 2 |
| #19151944 | 2 |
| #19151824 | 2 |
| SD16×Dic89 | 2 |
| C4×C8×D89 | 2 |
| #492×C89 | 2 |
| #3167 | 89 |