Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
416 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13069389 | C2 | semidirect |
| 3. #13067307 | C2 | semidirect |
| 5. #13067020 | C2 | semidirect |
| 6. #13066465 | C2 | semidirect |
| 286. C11 | #10553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078990 | 2 |
| #13069389 | 2 |
| #13067307 | 2 |
| C2×#10622182 | 2 |
| #13067020 | 2 |
| #13066465 | 2 |
| C11×#1545 | 2 |
| #10553 | 11 |