Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 109 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×C11×#106 | C2 | semidirect |
| 3. C2×C8×Dic11 | C2 | semidirect |
| 5. #10622587 | C2 | semidirect |
| 6. C2×#66874 | C2 | semidirect |
| 18. C2×#4314 | C4 | semidirect |
| 78. C2×Dic11 | SD16 | semidirect |
| 87. C8×C11 | C22⋊C4 | semidirect |
| 90. C2×#106 | D11 | semidirect |
| 168. C11 | #1968 | semidirect |
| 200. C8 | (C2×D11)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4314 | 2 |
| C2×C11×#106 | 2 |
| C2×C8×Dic11 | 2 |
| #10622601 | 2 |
| #10622587 | 2 |
| C2×#66874 | 2 |
| C2×#66873 | 2 |
| #1968 | 11 |