Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
586 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#10622760 | C2 | semidirect |
| 2. C22×#66890 | C2 | semidirect |
| 3. #13079102 | C2 | semidirect |
| 4. C2×#10622133 | C2 | semidirect |
| 5. C2×#10622135 | C2 | semidirect |
| 6. #13066705 | C2 | semidirect |
| 7. C11×#1978 | C2 | semidirect |
| 39. C2×C11×D8 | D4 | semidirect |
| 75. #66876 | D4 | semidirect |
| 79. C2×C11⋊C16 | D4 | semidirect |
| 144. #1978 | D11 | semidirect |
| 255. C2×D8 | D44 | semidirect |
| 344. C11 | #13336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622760 | 2 |
| C22×#66890 | 2 |
| #13079102 | 2 |
| C2×#10622133 | 2 |
| C2×#10622135 | 2 |
| #13066705 | 2 |
| C11×#1978 | 2 |
| #13336 | 11 |