Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1114 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 391 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. C2×#10622753 | C2 | semidirect |
| 2. #13077227 | C2 | semidirect |
| 3. #13070344 | C2 | semidirect |
| 4. C2×#10622205 | C2 | semidirect |
| 16. C2×#66883 | C22 | semidirect |
| 17. C2×#66876 | C22 | semidirect |
| 18. C22×C11⋊C16 | C22 | semidirect |
| 19. #10622205 | C22 | semidirect |
| 20. #10622205 | C22 | semidirect |
| 198. C11 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622753 | 2 |
| #13077227 | 2 |
| #13070344 | 2 |
| C2×#10622205 | 2 |
| C11×#3584 | 2 |
| #33385 | 11 |