Finite Group DatabasebetaFinite Group DatabasebetaOrder 11584.
108 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 35 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. #19153844 | C2 | semidirect |
| 2. #19153842 | C2 | semidirect |
| 3. C2×#15668434 | C2 | semidirect |
| 4. #19153824 | C2 | semidirect |
| 5. #19153751 | C2 | semidirect |
| 6. #19153732 | C2 | semidirect |
| 7. #100×C181 | C2 | semidirect |
| 53. C181 | #472 | semidirect |
| 61. #100 | D181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153844 | 2 |
| #19153842 | 2 |
| C2×#15668434 | 2 |
| #19153824 | 2 |
| #19153751 | 2 |
| #19153732 | 2 |
| #100×C181 | 2 |
| #472 | 181 |