Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
344 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#66899 | C2 | semidirect |
| 4. #10622548 | C2 | semidirect |
| 5. C2×#66867 | C2 | semidirect |
| 9. C11×#124 | C4 | semidirect |
| 88. #124 | Dic11 | semidirect |
| 124. C11 | #1959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#124 | 2 |
| C2×#66899 | 2 |
| C2×#66896 | 2 |
| #10622548 | 2 |
| C2×#66867 | 2 |
| #1959 | 11 |