Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
204 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×Dic176 | C2 | semidirect |
| 4. #13070474 | C2 | semidirect |
| 5. Dic11⋊C32 | C2 | semidirect |
| 6. #13066796 | C2 | semidirect |
| 155. C11 | #13690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic176 | 2 |
| C2×#10622158 | 2 |
| #13070874 | 2 |
| #13070474 | 2 |
| Dic11⋊C32 | 2 |
| #13066796 | 2 |
| C11×#1415 | 2 |
| #13690 | 11 |