Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1114 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 351 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. #13077227 | C2 | semidirect |
| 3. #13070345 | C2 | semidirect |
| 4. C2×#10622148 | C2 | semidirect |
| 5. C2×C11×#504 | C2 | semidirect |
| 15. C2×C11×M32 | C22 | semidirect |
| 16. C22×C11×C16 | C22 | semidirect |
| 18. C2×#66883 | C22 | semidirect |
| 19. #10622148 | C22 | semidirect |
| 20. #10622148 | C22 | semidirect |
| 84. C2×#504 | D11 | semidirect |
| 118. C2×M32 | C2×D11 | semidirect |
| 119. C22×C16 | C2×D11 | semidirect |
| 198. C11 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13083390 | 2 |
| #13077227 | 2 |
| #13070345 | 2 |
| C2×#10622148 | 2 |
| C2×C11×#504 | 2 |
| #33385 | 11 |