Finite Group DatabasebetaFinite Group DatabasebetaOrder 11584.
104 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 45 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. #19153824 | C2 | semidirect |
| 3. #19153823 | C2 | semidirect |
| 4. #19153751 | C2 | semidirect |
| 5. #19153744 | C2 | semidirect |
| 6. #19153727 | C2 | semidirect |
| 7. #104×C181 | C2 | semidirect |
| 9. #15668439 | C4 | semidirect |
| 10. #15668437 | C4 | semidirect |
| 11. #15668436 | C4 | semidirect |
| 12. #15668434 | C4 | semidirect |
| 51. C181 | #444 | semidirect |
| 58. #104 | D181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153836 | 2 |
| #19153824 | 2 |
| #19153823 | 2 |
| #19153751 | 2 |
| #19153744 | 2 |
| #19153727 | 2 |
| #104×C181 | 2 |
| #444 | 181 |