Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
508 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13071335 | C2 | semidirect |
| 4. #13067287 | C2 | semidirect |
| 6. #13066475 | C2 | semidirect |
| 7. C11×#1274 | C2 | semidirect |
| 21. #10622307 | C4 | semidirect |
| 22. #10622295 | C4 | semidirect |
| 123. #1274 | D11 | semidirect |
| 303. C11 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079739 | 2 |
| #13071335 | 2 |
| #13069448 | 2 |
| #13067287 | 2 |
| #13067177 | 2 |
| #13066475 | 2 |
| C11×#1274 | 2 |
| #9300 | 11 |