Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13070909 | C2 | semidirect |
| 2. #13070738 | C2 | semidirect |
| 4. #13066820 | C2 | semidirect |
| 5. #13066809 | C2 | semidirect |
| 6. #13066806 | C2 | semidirect |
| 7. C2×C11×SD64 | C2 | semidirect |
| 64. C2×SD64 | D11 | semidirect |
| 154. C11 | #13702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070909 | 2 |
| #13070738 | 2 |
| #13070733 | 2 |
| #13066820 | 2 |
| #13066809 | 2 |
| #13066806 | 2 |
| C2×C11×SD64 | 2 |
| #13702 | 11 |