Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
204 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 59 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. #10622738 | C2 | semidirect |
| 5. C11×#344 | C2 | semidirect |
| 6. #10622194 | C2 | semidirect |
| 7. #10622169 | C2 | semidirect |
| 72. #344 | D11 | semidirect |
| 130. C11 | #2081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622744 | 2 |
| C2×#66887 | 2 |
| #10622738 | 2 |
| #10622614 | 2 |
| C11×#344 | 2 |
| #10622194 | 2 |
| #10622169 | 2 |
| #2081 | 11 |