Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
478 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 478 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 |
|---|---|---|
| 3. #13069589 | C2 | semidirect |
| 4. #13067296 | C2 | semidirect |
| 6. #13066475 | C2 | semidirect |
| 7. C11×#1275 | C2 | semidirect |
| 21. #10622307 | C4 | semidirect |
| 22. #10622293 | C4 | semidirect |
| 118. #1275 | D11 | semidirect |
| 284. C11 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079746 | 2 |
| #13077335 | 2 |
| #13069589 | 2 |
| #13067296 | 2 |
| #13067177 | 2 |
| #13066475 | 2 |
| C11×#1275 | 2 |
| #9287 | 11 |