Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
494 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 149 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. #13068776 | C2 | semidirect |
| 4. #13068744 | C2 | semidirect |
| 5. C11×#1273 | C2 | semidirect |
| 66. #1273 | D11 | semidirect |
| 169. C11 | #10671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069422 | 2 |
| #13068776 | 2 |
| #13068744 | 2 |
| C11×#1273 | 2 |
| #10671 | 11 |