Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
184 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13070498 | C2 | semidirect |
| 3. #13066820 | C2 | semidirect |
| 4. #13066801 | C2 | semidirect |
| 5. C11×#1397 | C2 | semidirect |
| 13. Dic176 | C4 | semidirect |
| 14. #10622087 | C4 | semidirect |
| 15. D352 | C4 | semidirect |
| 47. #1397 | D11 | semidirect |
| 103. C11 | #13656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070925 | 2 |
| #13070498 | 2 |
| #13066820 | 2 |
| #13066801 | 2 |
| C11×#1397 | 2 |
| #13656 | 11 |