Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
274 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #13066729 | C2 | semidirect |
| 5. #13066716 | C2 | semidirect |
| 6. #13066715 | C2 | semidirect |
| 7. C11×#2161 | C2 | semidirect |
| 89. #2161 | D11 | semidirect |
| 220. C11 | #13497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070243 | 2 |
| #13068672 | 2 |
| #13068663 | 2 |
| #13066729 | 2 |
| #13066716 | 2 |
| #13066715 | 2 |
| C11×#2161 | 2 |
| #13497 | 11 |