Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
294 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 107 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. C22×C11⋊C32 | C2 | semidirect |
| 3. #13066799 | C2 | direct (N × H) |
| 4. C2×C11×#368 | C2 | semidirect |
| 16. C11×#368 | C22 | semidirect |
| 19. C2×C11⋊C32 | C22 | semidirect |
| 76. C2×#368 | D11 | semidirect |
| 114. #368 | C2×D11 | semidirect |
| 153. C2×C11 | #1417 | semidirect |
| 184. C11 | C2×#1417 | semidirect |
| 221. C2 | #13066799 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622517 | 2 |
| C22×C11⋊C32 | 2 |
| #13066799 | 2 |
| C2×C11×#368 | 2 |
| C2×#1417 | 11 |