Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
466 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#10622330 | C2 | semidirect |
| 3. #13070366 | C2 | semidirect |
| 4. #13070345 | C2 | semidirect |
| 5. #13069509 | C2 | semidirect |
| 6. #13066728 | C2 | semidirect |
| 7. C11×#1377 | C2 | semidirect |
| 20. #10622522 | C4 | semidirect |
| 22. #10622521 | C4 | semidirect |
| 131. #1377 | D11 | semidirect |
| 305. C11 | #13024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081752 | 2 |
| C2×#10622330 | 2 |
| #13070366 | 2 |
| #13070345 | 2 |
| #13069509 | 2 |
| #13066728 | 2 |
| C11×#1377 | 2 |
| #13024 | 11 |