Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
442 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 91 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. D11×#364 | C2 | semidirect |
| 3. #13066657 | C2 | semidirect |
| 4. #13066656 | C2 | semidirect |
| 5. C11×#1359 | C2 | semidirect |
| 16. C11×#364 | C22 | semidirect |
| 18. #10622101 | C22 | semidirect |
| 93. #1359 | D11 | direct (N × H) |
| 136. #364 | C2×D11 | semidirect |
| 187. D11 | #1359 | direct (N × H) |
| 228. C11 | C2×#1359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×#492 | 2 |
| D11×#364 | 2 |
| #13066657 | 2 |
| #13066656 | 2 |
| C11×#1359 | 2 |
| C2×#1359 | 11 |