Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
314 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13070390 | C2 | semidirect |
| 2. #13070371 | C2 | semidirect |
| 6. #13069362 | C2 | semidirect |
| 7. C11×#1388 | C2 | semidirect |
| 101. #1388 | D11 | semidirect |
| 235. C11 | #13466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070390 | 2 |
| #13070371 | 2 |
| #13070353 | 2 |
| #13070343 | 2 |
| #13069502 | 2 |
| #13069362 | 2 |
| C11×#1388 | 2 |
| #13466 | 11 |