Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1090 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1090 conjugacy classes of subgroups — too many to draw. Only its 183 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. C2×#10622792 | C2 | semidirect |
| 3. #13070566 | C2 | semidirect |
| 4. #13070351 | C2 | semidirect |
| 5. #13070237 | C2 | semidirect |
| 6. C11×#3059 | C2 | semidirect |
| 8. C22×C11×Q16 | C22 | semidirect |
| 18. C11×#470 | C22 | semidirect |
| 20. C11×#427 | C22 | semidirect |
| 24. #10622792 | C22 | semidirect |
| 26. C2×#66876 | C22 | semidirect |
| 27. #10622191 | C22 | semidirect |
| 28. #10622126 | C22 | semidirect |
| 142. #3059 | D11 | semidirect |
| 192. C22×Q16 | C2×D11 | semidirect |
| 200. #470 | C2×D11 | semidirect |
| 202. #427 | C2×D11 | semidirect |
| 336. C11 | #33532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13083390 | 2 |
| C2×#10622792 | 2 |
| #13070566 | 2 |
| #13070351 | 2 |
| #13070237 | 2 |
| C11×#3059 | 2 |
| #33532 | 11 |