Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
290 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #13066669 | C2 | semidirect |
| 5. #13066668 | C2 | semidirect |
| 6. #13066667 | C2 | semidirect |
| 7. C11×#1363 | C2 | semidirect |
| 101. #1363 | D11 | semidirect |
| 231. C11 | #11967 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D11×#499 | 2 |
| #13070414 | 2 |
| #13067376 | 2 |
| #13066669 | 2 |
| #13066668 | 2 |
| #13066667 | 2 |
| C11×#1363 | 2 |
| #11967 | 11 |