Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
586 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#10622521 | C2 | semidirect |
| 2. C22×D176 | C2 | semidirect |
| 3. #13079102 | C2 | semidirect |
| 4. C2×#10622154 | C2 | semidirect |
| 5. C2×#10622148 | C2 | semidirect |
| 6. #13069526 | C2 | semidirect |
| 7. C11×#1379 | C2 | semidirect |
| 58. C2×D88 | D4 | semidirect |
| 66. C11×M32 | D4 | semidirect |
| 70. C2×C11×C16 | D4 | semidirect |
| 145. #1379 | D11 | semidirect |
| 268. M32 | D44 | semidirect |
| 272. C2×C16 | D44 | semidirect |
| 344. C11 | #13336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622521 | 2 |
| C22×D176 | 2 |
| #13079102 | 2 |
| C2×#10622154 | 2 |
| C2×#10622148 | 2 |
| #13069526 | 2 |
| C11×#1379 | 2 |
| #13336 | 11 |