Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
470 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13081718 | C2 | semidirect |
| 3. #13070352 | C2 | semidirect |
| 4. #13068659 | C2 | semidirect |
| 5. #13066722 | C2 | semidirect |
| 6. #13066721 | C2 | semidirect |
| 7. C11×#2145 | C2 | semidirect |
| 14. #10622802 | C4 | semidirect |
| 16. #10622772 | C4 | semidirect |
| 53. C11×M32 | D4 | semidirect |
| 64. #66876 | D4 | semidirect |
| 124. #2145 | D11 | semidirect |
| 231. M32 | C22⋊D11 | semidirect |
| 301. C11 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081718 | 2 |
| #13078274 | 2 |
| #13070352 | 2 |
| #13068659 | 2 |
| #13066722 | 2 |
| #13066721 | 2 |
| C11×#2145 | 2 |
| #13077 | 11 |