Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10622733 | C2 | semidirect |
| 5. #10622193 | C2 | semidirect |
| 12. #66989 | C4 | semidirect |
| 30. C2×Dic22 | C2×C4 | semidirect |
| 40. C4×Dic11 | C2×C4 | semidirect |
| 121. C11 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623329 | 2 |
| C2×#66989 | 2 |
| C2×C11×#100 | 2 |
| #10622733 | 2 |
| #10622193 | 2 |
| #1885 | 11 |