Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
196 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 4. #10622140 | C2 | semidirect |
| 5. C16×Dic11 | C2 | semidirect |
| 9. C11×M32 | C4 | semidirect |
| 15. #66876 | C4 | semidirect |
| 29. C11×C16 | C2×C4 | semidirect |
| 30. C11⋊C16 | C2×C4 | semidirect |
| 57. Dic11 | M32 | direct (N × H) |
| 62. M32 | Dic11 | direct (N × H) |
| 85. C16 | C2×Dic11 | semidirect |
| 86. C11 | C4×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×M32 | 2 |
| C2×C8×Dic11 | 2 |
| C2×#66876 | 2 |
| #10622140 | 2 |
| C16×Dic11 | 2 |
| C4×M32 | 11 |