Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13077691 | C2 | semidirect |
| 3. #13067125 | C2 | semidirect |
| 4. #13067124 | C2 | semidirect |
| 5. #13066477 | C2 | semidirect |
| 6. #13066444 | C2 | semidirect |
| 7. C11×#1496 | C2 | semidirect |
| 13. #10622698 | C4 | semidirect |
| 14. #10622694 | C4 | semidirect |
| 15. #10622686 | C4 | semidirect |
| 16. #10622683 | C4 | semidirect |
| 118. #1496 | D11 | semidirect |
| 291. C11 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079549 | 2 |
| #13077691 | 2 |
| #13067125 | 2 |
| #13067124 | 2 |
| #13066477 | 2 |
| #13066444 | 2 |
| C11×#1496 | 2 |
| #9281 | 11 |