Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
554 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 554 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 |
|---|---|---|
| 1. #13077699 | C2 | semidirect |
| 3. #13068609 | C2 | semidirect |
| 5. #13066518 | C2 | semidirect |
| 6. #13066517 | C2 | semidirect |
| 293. C11 | #9406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077699 | 2 |
| #13073619 | 2 |
| #13068609 | 2 |
| #13067284 | 2 |
| #13066518 | 2 |
| #13066517 | 2 |
| C11×#1545 | 2 |
| #9406 | 11 |