Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
288 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13070845 | C2 | semidirect |
| 4. #13066664 | C2 | semidirect |
| 5. Q8⋊(C11⋊C16) | C2 | semidirect |
| 7. C11×#1676 | C2 | semidirect |
| 87. #1676 | D11 | semidirect |
| 207. C11 | #12387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081605 | 2 |
| #13070845 | 2 |
| #13070760 | 2 |
| #13066664 | 2 |
| Q8⋊(C11⋊C16) | 2 |
| #13066576 | 2 |
| C11×#1676 | 2 |
| #12387 | 11 |