Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. C2×C11×#137 | C2 | semidirect |
| 3. C22×#4325 | C2 | semidirect |
| 4. #10622847 | C2 | semidirect |
| 5. C2×#66900 | C2 | semidirect |
| 6. C2×#66887 | C2 | semidirect |
| 7. #10622196 | C2 | semidirect |
| 106. C2×#137 | D11 | semidirect |
| 196. C11 | #2019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#137 | 2 |
| C2×#67002 | 2 |
| C22×#4325 | 2 |
| #10622847 | 2 |
| C2×#66900 | 2 |
| C2×#66887 | 2 |
| #10622196 | 2 |
| #2019 | 11 |