Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
468 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 2. #13070891 | C2 | semidirect |
| 3. #13070825 | C2 | semidirect |
| 4. #13070759 | C2 | semidirect |
| 5. #13070707 | C2 | semidirect |
| 6. C4×Dic88 | C2 | semidirect |
| 7. #13070400 | C2 | semidirect |
| 190. C11 | #33909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081047 | 2 |
| #13070891 | 2 |
| #13070825 | 2 |
| #13070759 | 2 |
| #13070707 | 2 |
| C4×Dic88 | 2 |
| #13070400 | 2 |
| D4×C11×C16 | 2 |
| #33909 | 11 |