Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
158 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×Dic88 | C2 | semidirect |
| 4. #10622486 | C2 | semidirect |
| 6. Dic11⋊C16 | C2 | semidirect |
| 7. #10622130 | C2 | semidirect |
| 113. C11 | #2211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622768 | 2 |
| C2×#66891 | 2 |
| C2×Dic88 | 2 |
| #10622486 | 2 |
| C11×#357 | 2 |
| Dic11⋊C16 | 2 |
| #10622130 | 2 |
| #2211 | 11 |