Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
176 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 3. C8×Dic22 | C2 | semidirect |
| 4. C11×#322 | C2 | semidirect |
| 6. #10622096 | C2 | semidirect |
| 7. #10622094 | C2 | semidirect |
| 39. #4314 | C8 | semidirect |
| 54. Dic22 | C2×C8 | semidirect |
| 59. C8×C11 | C2×C8 | semidirect |
| 68. #322 | D11 | semidirect |
| 118. C11 | SD16⋊C8 | semidirect |
| 138. C8 | C8×D11 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4314 | 2 |
| C8×D44 | 2 |
| C8×Dic22 | 2 |
| C11×#322 | 2 |
| #10622097 | 2 |
| #10622096 | 2 |
| #10622094 | 2 |
| SD16⋊C8 | 11 |