Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
2878 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 2878 conjugacy classes of subgroups — too many to draw. Only its 491 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. #13066853 | C2 | semidirect |
| 7. C22×C4×Dic11 | C22 | semidirect |
| 8. C11×#379 | C4 | semidirect |
| 9. #10622860 | C4 | semidirect |
| 10. C2×C11⋊#95 | C22 | semidirect |
| 30. C24×C11 | C42 | semidirect |
| 71. #379 | Dic11 | semidirect |
| 107. C24 | C4×Dic11 | semidirect |
| 120. C11 | #13827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622860 | 2 |
| #13066853 | 2 |
| C2×C11×#379 | 2 |
| #13827 | 11 |