Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13070411 | C2 | semidirect |
| 4. #13069370 | C2 | semidirect |
| 5. #13066732 | C2 | semidirect |
| 6. #13066699 | C2 | semidirect |
| 20. C11×#360 | C4 | semidirect |
| 146. #360 | Dic11 | semidirect |
| 241. C11 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622810 | 2 |
| #13070411 | 2 |
| #13070344 | 2 |
| #13069370 | 2 |
| #13066732 | 2 |
| #13066699 | 2 |
| C11×#2145 | 2 |
| #12944 | 11 |