Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 32. C2×Dic22 | C8 | semidirect |
| 38. C2×C8×C11 | Q8 | semidirect |
| 53. C2×C11⋊C8 | Q8 | semidirect |
| 152. C2×C8 | Dic22 | semidirect |
| 162. C11 | #1984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic22 | 2 |
| C2×Dic11⋊C8 | 2 |
| C2×C8×Dic11 | 2 |
| C11×#336 | 2 |
| #10622188 | 2 |
| #10622162 | 2 |
| #1984 | 11 |