Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
642 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 642 conjugacy classes of subgroups — too many to draw. Only its 207 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. #13077532 | C2 | semidirect |
| 3. #13070501 | C2 | semidirect |
| 4. #13070496 | C2 | semidirect |
| 5. C2×#10622135 | C2 | semidirect |
| 6. #13070215 | C2 | semidirect |
| 7. C11×#2161 | C2 | semidirect |
| 15. #10622522 | C4 | semidirect |
| 16. #10622521 | C4 | semidirect |
| 18. #10622508 | C22 | semidirect |
| 20. C11×#368 | C22 | semidirect |
| 21. #10622140 | C22 | semidirect |
| 22. C16×Dic11 | C22 | semidirect |
| 23. #10622135 | C22 | semidirect |
| 24. #10622135 | C22 | semidirect |
| 90. #2161 | D11 | semidirect |
| 126. #368 | C2×D11 | semidirect |
| 205. C11 | #33464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081752 | 2 |
| #13077532 | 2 |
| #13070501 | 2 |
| #13070496 | 2 |
| C2×#10622135 | 2 |
| #13070215 | 2 |
| C11×#2161 | 2 |
| #33464 | 11 |