Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
280 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#66879 | C2 | semidirect |
| 5. C2×Dic11⋊C8 | C2 | semidirect |
| 6. #10622188 | C2 | semidirect |
| 7. #10622188 | C2 | semidirect |
| 176. C11 | #1924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×C22⋊C8 | 2 |
| C4×C22⋊Dic11 | 2 |
| C2×C22⋊(C11⋊C8) | 2 |
| C2×#66879 | 2 |
| C2×Dic11⋊C8 | 2 |
| #10622188 | 2 |
| #1924 | 11 |