Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
610 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13079739 | C2 | semidirect |
| 3. #13073611 | C2 | semidirect |
| 4. #13067289 | C2 | semidirect |
| 5. #13067110 | C2 | semidirect |
| 6. #13067006 | C2 | semidirect |
| 7. C11×#1303 | C2 | semidirect |
| 145. #1303 | D11 | semidirect |
| 359. C11 | #10239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079739 | 2 |
| #13078082 | 2 |
| #13073611 | 2 |
| #13067289 | 2 |
| #13067110 | 2 |
| #13067006 | 2 |
| C11×#1303 | 2 |
| #10239 | 11 |