Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
672 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13079554 | C2 | semidirect |
| 3. #13069456 | C2 | semidirect |
| 4. #13067284 | C2 | semidirect |
| 5. #13067071 | C2 | semidirect |
| 6. #13066454 | C2 | semidirect |
| 7. C11×#3138 | C2 | semidirect |
| 123. #3138 | D11 | semidirect |
| 308. C11 | #10145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079554 | 2 |
| C2×#10622686 | 2 |
| #13069456 | 2 |
| #13067284 | 2 |
| #13067071 | 2 |
| #13066454 | 2 |
| C11×#3138 | 2 |
| #10145 | 11 |