Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
474 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13079814 | C2 | semidirect |
| 2. #13079623 | C2 | semidirect |
| 4. #13067162 | C2 | semidirect |
| 5. #13067162 | C2 | semidirect |
| 6. C11⋊#1308 | C2 | semidirect |
| 7. C11×#1515 | C2 | semidirect |
| 133. #1515 | D11 | semidirect |
| 323. C11 | #10209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079814 | 2 |
| #13079623 | 2 |
| #13079613 | 2 |
| #13067162 | 2 |
| C11⋊#1308 | 2 |
| C11×#1515 | 2 |
| #10209 | 11 |