Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
222 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 73 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. #10622732 | C2 | semidirect |
| 5. C2×#66879 | C2 | semidirect |
| 6. C11×#341 | C2 | semidirect |
| 7. #10622193 | C2 | semidirect |
| 16. #66885 | C4 | semidirect |
| 18. #66880 | C4 | semidirect |
| 78. #341 | D11 | semidirect |
| 138. C11 | #1938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66889 | 2 |
| #10622742 | 2 |
| #10622732 | 2 |
| #10622726 | 2 |
| C2×#66879 | 2 |
| C11×#341 | 2 |
| #10622193 | 2 |
| #1938 | 11 |