Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
446 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13069455 | C2 | semidirect |
| 3. #13067349 | C2 | semidirect |
| 4. #13067283 | C2 | semidirect |
| 5. #13067032 | C2 | semidirect |
| 6. #13066507 | C2 | semidirect |
| 7. C11×#1574 | C2 | semidirect |
| 109. #1574 | D11 | semidirect |
| 278. C11 | #10488 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079536 | 2 |
| #13069455 | 2 |
| #13067349 | 2 |
| #13067283 | 2 |
| #13067032 | 2 |
| #13066507 | 2 |
| C11×#1574 | 2 |
| #10488 | 11 |