Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #10623074 | C2 | semidirect |
| 3. C11×#436 | C2 | semidirect |
| 4. #10622747 | C2 | semidirect |
| 5. #10622746 | C2 | semidirect |
| 6. #10622463 | C2 | semidirect |
| 7. #10622461 | C2 | semidirect |
| 8. #10622349 | C2 | semidirect |
| 9. #10622346 | C2 | semidirect |
| 10. C4×Dic44 | C2 | semidirect |
| 11. #10622307 | C2 | semidirect |
| 116. #436 | D11 | semidirect |
| 204. C11 | #3333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623084 | 2 |
| #10623074 | 2 |
| C11×#436 | 2 |
| #10622747 | 2 |
| #10622746 | 2 |
| #10622463 | 2 |
| #10622461 | 2 |
| #10622349 | 2 |
| #10622346 | 2 |
| C4×Dic44 | 2 |
| #10622307 | 2 |
| #3333 | 11 |