Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
374 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13069392 | C2 | semidirect |
| 3. #13067369 | C2 | semidirect |
| 6. #13066490 | C2 | semidirect |
| 7. C11×#1570 | C2 | semidirect |
| 99. #1570 | D11 | semidirect |
| 253. C11 | #10607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069455 | 2 |
| #13069392 | 2 |
| #13067369 | 2 |
| #13067283 | 2 |
| C2×#10622123 | 2 |
| #13066490 | 2 |
| C11×#1570 | 2 |
| #10607 | 11 |