Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
406 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 2. #13067379 | C2 | semidirect |
| 3. #13066660 | C2 | semidirect |
| 4. C11×#2162 | C2 | semidirect |
| 15. C11×C4⋊C16 | C22 | semidirect |
| 19. #10622095 | C22 | semidirect |
| 85. #2162 | D11 | semidirect |
| 126. C4⋊C16 | C2×D11 | semidirect |
| 215. C11 | #11957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622309 | 2 |
| #13067379 | 2 |
| #13066660 | 2 |
| C11×#2162 | 2 |
| #11957 | 11 |