Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #10623247 | C2 | semidirect |
| 2. C4×#4341 | C2 | semidirect |
| 3. C11×#459 | C2 | semidirect |
| 4. #10622771 | C2 | semidirect |
| 5. #10622765 | C2 | semidirect |
| 6. #10622688 | C2 | semidirect |
| 7. #10622620 | C2 | semidirect |
| 8. #10622464 | C2 | semidirect |
| 9. #10622448 | C2 | semidirect |
| 10. #10622392 | C2 | semidirect |
| 11. #10622370 | C2 | semidirect |
| 92. D4×C11 | #41 | semidirect |
| 115. Dic22 | #41 | semidirect |
| 124. #459 | D11 | semidirect |
| 227. C11 | #3115 | semidirect |
| 241. D4 | #4341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623247 | 2 |
| C4×#4341 | 2 |
| C11×#459 | 2 |
| #10622771 | 2 |
| #10622765 | 2 |
| #10622688 | 2 |
| #10622620 | 2 |
| #10622464 | 2 |
| #10622448 | 2 |
| #10622392 | 2 |
| #10622370 | 2 |
| #3115 | 11 |