Finite Group DatabasebetaFinite Group DatabasebetaOrder 11584.
104 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 40 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. #19153904 | C2 | semidirect |
| 2. #19153903 | C2 | semidirect |
| 3. #19153887 | C2 | semidirect |
| 4. #19153881 | C2 | semidirect |
| 5. #19153880 | C2 | semidirect |
| 6. #19153870 | C2 | semidirect |
| 18. #15668439 | C4 | semidirect |
| 19. #15668438 | C4 | semidirect |
| 20. #15668434 | C4 | semidirect |
| 22. SD16×C181 | C4 | semidirect |
| 51. C181 | #444 | semidirect |
| 64. SD16 | #10624382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153904 | 2 |
| #19153903 | 2 |
| #19153887 | 2 |
| #19153881 | 2 |
| #19153880 | 2 |
| #19153870 | 2 |
| #19153837 | 2 |
| #444 | 181 |