Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
358 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 1. #13070419 | C2 | semidirect |
| 2. #13068747 | C2 | semidirect |
| 3. #13066625 | C2 | semidirect |
| 6. C11×#500 | C4 | semidirect |
| 7. C11×#493 | C4 | semidirect |
| 12. C4×C11×D8 | C4 | semidirect |
| 108. #500 | Dic11 | semidirect |
| 109. #493 | Dic11 | semidirect |
| 114. C4×D8 | Dic11 | semidirect |
| 198. C11 | #11858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070419 | 2 |
| #13068747 | 2 |
| #13066625 | 2 |
| C11×#3169 | 2 |
| #11858 | 11 |