Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
456 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#10622203 | C2 | semidirect |
| 4. #13069532 | C2 | semidirect |
| 5. #13066728 | C2 | semidirect |
| 6. #13066703 | C2 | semidirect |
| 12. C11×#510 | C4 | semidirect |
| 160. #510 | Dic11 | semidirect |
| 282. C11 | #13031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077533 | 2 |
| #13070365 | 2 |
| C2×#10622203 | 2 |
| #13069532 | 2 |
| #13066728 | 2 |
| #13066703 | 2 |
| C2×C11×#510 | 2 |
| #13031 | 11 |