Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
292 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. #13070896 | C2 | semidirect |
| 4. #13066673 | C2 | semidirect |
| 5. #13066580 | C2 | semidirect |
| 7. C11×#2225 | C2 | semidirect |
| 85. #2225 | D11 | semidirect |
| 206. C11 | #12394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081010 | 2 |
| #13070896 | 2 |
| #13068002 | 2 |
| #13066673 | 2 |
| #13066580 | 2 |
| #13066570 | 2 |
| C11×#2225 | 2 |
| #12394 | 11 |