Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
336 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #10622750 | C2 | semidirect |
| 4. #10622734 | C2 | semidirect |
| 5. #10622442 | C2 | semidirect |
| 6. #10622336 | C2 | semidirect |
| 7. #10622335 | C2 | semidirect |
| 8. C4×Dic44 | C2 | semidirect |
| 9. #10622296 | C2 | semidirect |
| 157. C11 | #3352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623072 | 2 |
| C11×#436 | 2 |
| #10622750 | 2 |
| #10622734 | 2 |
| #10622442 | 2 |
| #10622336 | 2 |
| #10622335 | 2 |
| C4×Dic44 | 2 |
| #10622296 | 2 |
| #3352 | 11 |