Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
534 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #13080010 | C2 | semidirect |
| 5. #13067210 | C2 | semidirect |
| 6. #13067036 | C2 | semidirect |
| 7. C11×#1299 | C2 | semidirect |
| 131. #1299 | D11 | semidirect |
| 308. C11 | #10113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13080010 | 2 |
| #13079559 | 2 |
| #13078991 | 2 |
| #13069455 | 2 |
| #13067210 | 2 |
| #13067036 | 2 |
| C11×#1299 | 2 |
| #10113 | 11 |