Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 107 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×#10622125 | C2 | semidirect |
| 5. #13069370 | C2 | semidirect |
| 6. #13066695 | C2 | semidirect |
| 7. C11×#1386 | C2 | semidirect |
| 22. #10622129 | C4 | semidirect |
| 44. C11×#107 | C2×C4 | semidirect |
| 54. C2×C11⋊C16 | C2×C4 | semidirect |
| 101. #1386 | D11 | semidirect |
| 188. #107 | C4×D11 | semidirect |
| 239. C11 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622482 | 2 |
| C2×#10622125 | 2 |
| C2×#10622154 | 2 |
| #13070331 | 2 |
| #13069370 | 2 |
| #13066695 | 2 |
| C11×#1386 | 2 |
| #12956 | 11 |