Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
466 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13081719 | C2 | semidirect |
| 3. #13070245 | C2 | semidirect |
| 4. #13066695 | C2 | semidirect |
| 5. C11×#2115 | C2 | semidirect |
| 54. C2×C11⋊C16 | D4 | semidirect |
| 98. #2115 | D11 | semidirect |
| 236. C11 | #12988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081719 | 2 |
| #13077332 | 2 |
| #13070245 | 2 |
| #13066695 | 2 |
| C11×#2115 | 2 |
| #12988 | 11 |