Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #19151908 | C2 | semidirect |
| 4. #19151907 | C2 | semidirect |
| 5. #19151894 | C2 | semidirect |
| 6. #19151893 | C2 | semidirect |
| 7. #19151880 | C2 | semidirect |
| 11. #475×C89 | C2 | semidirect |
| 47. Q8×D89 | Q8 | semidirect |
| 131. C89 | #3078 | semidirect |
| 139. #475 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| C4×Q8×D89 | 2 |
| #19151908 | 2 |
| #19151907 | 2 |
| #19151894 | 2 |
| #19151893 | 2 |
| #19151880 | 2 |
| #19151637 | 2 |
| #19151620 | 2 |
| #19151605 | 2 |
| #475×C89 | 2 |
| #3078 | 89 |