Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10622797 | C2 | semidirect |
| 4. #10622794 | C2 | semidirect |
| 8. #10622471 | C2 | semidirect |
| 9. #10622466 | C2 | semidirect |
| 10. #10622410 | C2 | semidirect |
| 11. #10622403 | C2 | semidirect |
| 172. C11 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623156 | 2 |
| C11×#470 | 2 |
| #10622797 | 2 |
| #10622794 | 2 |
| #10622750 | 2 |
| #10622735 | 2 |
| #10622664 | 2 |
| #10622471 | 2 |
| #10622466 | 2 |
| #10622410 | 2 |
| #10622403 | 2 |
| #3177 | 11 |