Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
294 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13070400 | C2 | semidirect |
| 3. #13066804 | C2 | semidirect |
| 4. C2×C11×M64 | C2 | semidirect |
| 8. C2×Dic88 | C4 | semidirect |
| 11. #10622517 | C4 | semidirect |
| 14. C2×D176 | C4 | semidirect |
| 16. C11×M64 | C22 | semidirect |
| 18. #10622143 | C22 | semidirect |
| 75. C2×M64 | D11 | semidirect |
| 111. M64 | C2×D11 | semidirect |
| 185. C11 | #13622 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622517 | 2 |
| #13070400 | 2 |
| #13066804 | 2 |
| C2×C11×M64 | 2 |
| #13622 | 11 |