Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 149 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×#131 | C2 | semidirect |
| 2. #10623364 | C2 | semidirect |
| 3. C2×#66957 | C2 | semidirect |
| 4. #10622747 | C2 | semidirect |
| 5. #10622746 | C2 | semidirect |
| 6. #10622729 | C2 | semidirect |
| 7. #10622728 | C2 | semidirect |
| 8. C2×#66882 | C2 | semidirect |
| 48. C2×C8×C11 | D4 | semidirect |
| 88. C2×#131 | D11 | semidirect |
| 159. C2×C8 | C22⋊D11 | semidirect |
| 168. C11 | #3061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#131 | 2 |
| #10623364 | 2 |
| C2×#66957 | 2 |
| #10622747 | 2 |
| #10622746 | 2 |
| #10622729 | 2 |
| #10622728 | 2 |
| C2×#66882 | 2 |
| #3061 | 11 |