Finite Group DatabasebetaFinite Group DatabasebetaOrder 11584.
214 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19153809 | C2 | semidirect |
| 2. #19153807 | C2 | semidirect |
| 3. #19153806 | C2 | semidirect |
| 5. #19153792 | C2 | semidirect |
| 6. Q8×Dic181 | C2 | semidirect |
| 8. #19153775 | C2 | semidirect |
| 9. #19153774 | C2 | semidirect |
| 10. C4⋊C4×D181 | C2 | semidirect |
| 11. C22⋊Q8×C181 | C2 | semidirect |
| 72. C181 | #552 | semidirect |
| 79. C22⋊Q8 | D181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153809 | 2 |
| #19153807 | 2 |
| #19153806 | 2 |
| #19153798 | 2 |
| #19153792 | 2 |
| Q8×Dic181 | 2 |
| C4×C22⋊D181 | 2 |
| #19153775 | 2 |
| #19153774 | 2 |
| C4⋊C4×D181 | 2 |
| C22⋊Q8×C181 | 2 |
| #552 | 181 |