Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
458 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #13070337 | C2 | semidirect |
| 4. #13070335 | C2 | semidirect |
| 6. #13066717 | C2 | semidirect |
| 7. C11×#1384 | C2 | semidirect |
| 22. #10622481 | C4 | semidirect |
| 118. #1384 | D11 | semidirect |
| 274. C11 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081718 | 2 |
| #13078272 | 2 |
| #13070337 | 2 |
| #13070335 | 2 |
| #13068659 | 2 |
| #13066717 | 2 |
| C11×#1384 | 2 |
| #13075 | 11 |