Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
284 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13070936 | C2 | semidirect |
| 3. #13070933 | C2 | semidirect |
| 4. #13070725 | C2 | semidirect |
| 5. #13066802 | C2 | semidirect |
| 6. #13066755 | C2 | semidirect |
| 7. C11×#1418 | C2 | semidirect |
| 15. C2×Dic88 | C22 | semidirect |
| 19. C11×M64 | C22 | semidirect |
| 20. C11×#367 | C22 | semidirect |
| 23. #10622137 | C22 | semidirect |
| 100. #1418 | D11 | semidirect |
| 146. M64 | C2×D11 | semidirect |
| 147. #367 | C2×D11 | semidirect |
| 234. C11 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081749 | 2 |
| #13070936 | 2 |
| #13070933 | 2 |
| #13070725 | 2 |
| #13066802 | 2 |
| #13066755 | 2 |
| C11×#1418 | 2 |
| #13668 | 11 |