Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
536 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 101 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×#10622522 | C2 | semidirect |
| 3. #13079110 | C2 | semidirect |
| 4. #13070353 | C2 | semidirect |
| 5. #13070337 | C2 | semidirect |
| 6. #13069514 | C2 | semidirect |
| 7. C11×#1378 | C2 | semidirect |
| 154. #1378 | D11 | semidirect |
| 358. C11 | #13335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081752 | 2 |
| C2×#10622522 | 2 |
| #13079110 | 2 |
| #13070353 | 2 |
| #13070337 | 2 |
| #13069514 | 2 |
| C11×#1378 | 2 |
| #13335 | 11 |