Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C4⋊Q8×D89 | C2 | semidirect |
| 3. #19152001 | C2 | semidirect |
| 4. #19151946 | C2 | semidirect |
| 5. #19151945 | C2 | semidirect |
| 6. #19151913 | C2 | semidirect |
| 7. #19151877 | C2 | semidirect |
| 8. #19151649 | C2 | semidirect |
| 9. #500×C89 | C2 | semidirect |
| 114. C89 | #3226 | semidirect |
| 118. #500 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| C4⋊Q8×D89 | 2 |
| #19152001 | 2 |
| #19151946 | 2 |
| #19151945 | 2 |
| #19151913 | 2 |
| #19151877 | 2 |
| #19151649 | 2 |
| #500×C89 | 2 |
| #3226 | 89 |