Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
484 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×#66957 | C2 | semidirect |
| 3. #13070352 | C2 | semidirect |
| 4. #13070343 | C2 | semidirect |
| 5. #13066730 | C2 | semidirect |
| 6. #13066698 | C2 | semidirect |
| 7. C11×#1974 | C2 | semidirect |
| 18. #10622792 | C4 | semidirect |
| 19. #10622760 | C4 | semidirect |
| 35. C2×C11×Q16 | C2×C4 | semidirect |
| 37. C2×C11×D8 | C2×C4 | semidirect |
| 73. #66876 | C2×C4 | semidirect |
| 135. #1974 | D11 | semidirect |
| 225. C2×Q16 | C4×D11 | semidirect |
| 229. C2×D8 | C4×D11 | semidirect |
| 321. C11 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081750 | 2 |
| C4×#66957 | 2 |
| #13070352 | 2 |
| #13070343 | 2 |
| #13066730 | 2 |
| #13066698 | 2 |
| C11×#1974 | 2 |
| #13027 | 11 |