Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #10622719 | C2 | semidirect |
| 3. C11×C22⋊C16 | C2 | semidirect |
| 4. #10622147 | C2 | semidirect |
| 5. #10622147 | C2 | semidirect |
| 6. #10622143 | C2 | semidirect |
| 7. #10622142 | C2 | semidirect |
| 58. C22⋊C16 | D11 | semidirect |
| 105. C11 | #2234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622728 | 2 |
| #10622719 | 2 |
| C11×C22⋊C16 | 2 |
| #10622147 | 2 |
| #10622143 | 2 |
| #10622142 | 2 |
| #2234 | 11 |