Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 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 |
|---|---|---|
| 2. #13077484 | C2 | semidirect |
| 5. #13066717 | C2 | semidirect |
| 6. #13066703 | C2 | semidirect |
| 7. C11×#2141 | C2 | semidirect |
| 16. C2×#66893 | C4 | semidirect |
| 19. C2×#66892 | C4 | semidirect |
| 119. #2141 | D11 | semidirect |
| 282. C11 | #13034 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622792 | 2 |
| #13077484 | 2 |
| #13070353 | 2 |
| #13069512 | 2 |
| #13066717 | 2 |
| #13066703 | 2 |
| C11×#2141 | 2 |
| #13034 | 11 |