Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 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. #19152308 | C2 | semidirect |
| 2. #19152001 | C2 | semidirect |
| 3. #19151997 | C2 | semidirect |
| 4. #19151898 | C2 | semidirect |
| 5. #19151895 | C2 | semidirect |
| 6. #19151888 | C2 | semidirect |
| 7. #19151885 | C2 | semidirect |
| 8. Q8×#10623494 | C2 | semidirect |
| 11. #554×C89 | C2 | semidirect |
| 45. #13083559 | Q8 | semidirect |
| 120. C89 | #3380 | semidirect |
| 122. #554 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152308 | 2 |
| #19152001 | 2 |
| #19151997 | 2 |
| #19151898 | 2 |
| #19151895 | 2 |
| #19151888 | 2 |
| #19151885 | 2 |
| Q8×#10623494 | 2 |
| C4×#13083559 | 2 |
| #554×C89 | 2 |
| #3380 | 89 |