Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
218 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13070896 | C2 | semidirect |
| 5. #13066689 | C2 | semidirect |
| 6. #13066673 | C2 | semidirect |
| 7. C11×#1364 | C2 | semidirect |
| 66. C11⋊C16 | SD16 | semidirect |
| 73. #1364 | D11 | semidirect |
| 168. C11 | #12453 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070896 | 2 |
| #13070435 | 2 |
| #13068016 | 2 |
| #13068002 | 2 |
| #13066689 | 2 |
| #13066673 | 2 |
| C11×#1364 | 2 |
| #12453 | 11 |