Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
126 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 43 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. #10622468 | C2 | semidirect |
| 3. C11×#365 | C2 | semidirect |
| 5. #10622149 | C2 | semidirect |
| 6. #10622132 | C2 | semidirect |
| 28. Dic44 | Q8 | semidirect |
| 29. D88 | Q8 | semidirect |
| 53. #365 | D11 | semidirect |
| 95. C11 | #2230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622508 | 2 |
| #10622468 | 2 |
| C11×#365 | 2 |
| #10622156 | 2 |
| #10622149 | 2 |
| #10622132 | 2 |
| #10622126 | 2 |
| #2230 | 11 |