Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 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 |
|---|---|---|
| 1. #13070524 | C2 | semidirect |
| 2. #13067973 | C2 | semidirect |
| 3. #13066690 | C2 | semidirect |
| 4. #13066662 | C2 | semidirect |
| 51. C11×C16 | SD16 | semidirect |
| 134. C16 | #4324 | semidirect |
| 135. C11 | #12442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070524 | 2 |
| #13067973 | 2 |
| #13066690 | 2 |
| #13066662 | 2 |
| C11×#2246 | 2 |
| #12442 | 11 |