Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
476 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 476 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. #13077499 | C2 | semidirect |
| 3. #13070353 | C2 | semidirect |
| 4. #13069515 | C2 | semidirect |
| 5. #13066723 | C2 | semidirect |
| 6. #13066701 | C2 | semidirect |
| 7. C2×C11×#360 | C2 | semidirect |
| 18. #10622792 | C4 | semidirect |
| 19. #10622760 | C4 | semidirect |
| 35. C2×C11×Q16 | C2×C4 | semidirect |
| 37. C2×C11×D8 | C2×C4 | semidirect |
| 71. #66876 | C2×C4 | semidirect |
| 132. C2×#360 | D11 | semidirect |
| 223. C2×Q16 | C4×D11 | semidirect |
| 227. C2×D8 | C4×D11 | semidirect |
| 317. C11 | #13030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081750 | 2 |
| #13077499 | 2 |
| #13070353 | 2 |
| #13069515 | 2 |
| #13066723 | 2 |
| #13066701 | 2 |
| C2×C11×#360 | 2 |
| #13030 | 11 |