Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
438 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13077605 | C2 | semidirect |
| 3. #13067234 | C2 | semidirect |
| 4. C2×#10622102 | C2 | semidirect |
| 5. #13066967 | C2 | semidirect |
| 6. #13066516 | C2 | semidirect |
| 7. C11×#1281 | C2 | semidirect |
| 147. #1281 | D11 | semidirect |
| 352. C11 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079583 | 2 |
| #13077605 | 2 |
| #13067234 | 2 |
| C2×#10622102 | 2 |
| #13066967 | 2 |
| #13066516 | 2 |
| C11×#1281 | 2 |
| #9265 | 11 |