Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
282 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 21. #10622143 | C4 | semidirect |
| 22. #10622142 | C4 | semidirect |
| 78. C11×C16 | C4⋊C4 | semidirect |
| 200. C16 | Dic11⋊C4 | semidirect |
| 201. C11 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070404 | 2 |
| C2×#10622150 | 2 |
| #13069367 | 2 |
| #13069352 | 2 |
| #13066726 | 2 |
| #13066723 | 2 |
| C2×C11×#365 | 2 |
| #13174 | 11 |