Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
582 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 582 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 |
|---|---|---|
| 1. #13079734 | C2 | semidirect |
| 3. C2×#10622454 | C2 | semidirect |
| 4. #13067287 | C2 | semidirect |
| 5. #13066936 | C2 | semidirect |
| 6. #13066513 | C2 | semidirect |
| 7. C11×#1480 | C2 | semidirect |
| 142. #1480 | D11 | semidirect |
| 354. C11 | #10184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079734 | 2 |
| #13078076 | 2 |
| C2×#10622454 | 2 |
| #13067287 | 2 |
| #13066936 | 2 |
| #13066513 | 2 |
| C11×#1480 | 2 |
| #10184 | 11 |