Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
188 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 57 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. #10622688 | C2 | semidirect |
| 3. C8×Dic22 | C2 | semidirect |
| 4. #10622182 | C2 | semidirect |
| 5. #10622096 | C2 | semidirect |
| 45. Dic22 | D8 | semidirect |
| 47. C8×C11 | SD16 | semidirect |
| 96. C11 | #1668 | semidirect |
| 113. C8 | #4324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#493 | 2 |
| #10622688 | 2 |
| C8×Dic22 | 2 |
| #10622182 | 2 |
| #10622096 | 2 |
| #1668 | 11 |