Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
190 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. #13066818 | C2 | semidirect |
| 4. #13066815 | C2 | semidirect |
| 5. C11×#1424 | C2 | semidirect |
| 13. D11×C32 | C4 | semidirect |
| 41. #1424 | D11 | semidirect |
| 95. C11 | #13633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×C32 | 2 |
| #13070397 | 2 |
| #13066818 | 2 |
| #13066815 | 2 |
| C11×#1424 | 2 |
| #13633 | 11 |