Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
448 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 448 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. C2×C22⋊(C11⋊C16) | C2 | semidirect |
| 3. #13066630 | C2 | semidirect |
| 4. C11×#1810 | C2 | semidirect |
| 17. C11×#341 | C22 | semidirect |
| 19. C22⋊(C11⋊C16) | C22 | semidirect |
| 90. #1810 | D11 | semidirect |
| 141. #341 | C2×D11 | semidirect |
| 237. C11 | #11891 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622728 | 2 |
| C2×C22⋊(C11⋊C16) | 2 |
| #13066630 | 2 |
| C11×#1810 | 2 |
| #11891 | 11 |