Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
480 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13070197 | C2 | semidirect |
| 2. #13070191 | C2 | semidirect |
| 3. #13070069 | C2 | semidirect |
| 4. #13069317 | C2 | semidirect |
| 6. #13068858 | C2 | semidirect |
| 7. #13068838 | C2 | semidirect |
| 8. #13068753 | C2 | semidirect |
| 237. C11 | #32702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070197 | 2 |
| #13070191 | 2 |
| #13070069 | 2 |
| #13069317 | 2 |
| #13068980 | 2 |
| #13068858 | 2 |
| #13068838 | 2 |
| #13068753 | 2 |
| C11×#2050 | 2 |
| #32702 | 11 |