Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
354 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 199 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 |
|---|---|---|
| 3. #13066533 | C2 | semidirect |
| 4. C16×C11⋊C8 | C2 | semidirect |
| 5. C11×#1311 | C2 | semidirect |
| 26. #66862 | C8 | semidirect |
| 39. C11×C16 | C2×C8 | semidirect |
| 40. C11⋊C16 | C2×C8 | semidirect |
| 44. #1311 | D11 | semidirect |
| 56. C11⋊C8 | M32 | semidirect |
| 100. C16 | C8×D11 | semidirect |
| 101. C11 | C8×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66862 | 2 |
| C82×D11 | 2 |
| #13066533 | 2 |
| C16×C11⋊C8 | 2 |
| C11×#1311 | 2 |
| C8×M32 | 11 |