Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
498 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 1. #13079734 | C2 | semidirect |
| 2. #13079009 | C2 | semidirect |
| 3. #13069604 | C2 | semidirect |
| 4. #13067208 | C2 | semidirect |
| 5. #13067033 | C2 | semidirect |
| 6. #13066505 | C2 | semidirect |
| 305. C11 | #10110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079734 | 2 |
| #13079009 | 2 |
| #13069604 | 2 |
| #13067208 | 2 |
| #13067033 | 2 |
| #13066505 | 2 |
| C11×#3253 | 2 |
| #10110 | 11 |