Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
206 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13066816 | C2 | semidirect |
| 4. #13066815 | C2 | semidirect |
| 5. C11×#1423 | C2 | semidirect |
| 13. D11×C32 | C4 | semidirect |
| 23. C11×C32 | C2×C4 | semidirect |
| 24. C11⋊C32 | C2×C4 | semidirect |
| 42. #1423 | D11 | direct (N × H) |
| 81. C32 | C4×D11 | semidirect |
| 85. D11 | #1423 | direct (N × H) |
| 98. C11 | C2×#1423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×C32 | 2 |
| D11×#366 | 2 |
| #13066816 | 2 |
| #13066815 | 2 |
| C11×#1423 | 2 |
| C2×#1423 | 11 |