Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13070307 | C2 | semidirect |
| 3. #13070265 | C2 | semidirect |
| 4. #13068666 | C2 | semidirect |
| 5. C11×#1757 | C2 | semidirect |
| 8. C22×D88 | C4 | semidirect |
| 15. #10622744 | C4 | semidirect |
| 19. #10622719 | C4 | semidirect |
| 113. #1757 | D11 | semidirect |
| 274. C11 | #13234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078264 | 2 |
| #13070307 | 2 |
| #13070265 | 2 |
| #13068666 | 2 |
| C11×#1757 | 2 |
| #13234 | 11 |