Finite Group DatabasebetaFinite Group DatabasebetaOrder 11456.
106 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19153119 | C2 | semidirect |
| 3. #19153048 | C2 | semidirect |
| 4. #19153040 | C2 | semidirect |
| 5. #19153039 | C2 | semidirect |
| 6. C8×Dic179 | C2 | semidirect |
| 7. #131×C179 | C2 | semidirect |
| 9. #15668249 | C4 | semidirect |
| 10. #15668247 | C4 | semidirect |
| 11. #15668246 | C4 | semidirect |
| 12. #15668244 | C4 | semidirect |
| 51. C179 | #443 | semidirect |
| 55. #131 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153133 | 2 |
| #19153119 | 2 |
| #19153048 | 2 |
| #19153040 | 2 |
| #19153039 | 2 |
| C8×Dic179 | 2 |
| #131×C179 | 2 |
| #443 | 179 |