Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #10623259 | C2 | semidirect |
| 3. C11×#476 | C2 | semidirect |
| 4. #10622697 | C2 | semidirect |
| 5. #10622620 | C2 | semidirect |
| 6. #10622484 | C2 | semidirect |
| 7. #10622474 | C2 | semidirect |
| 8. #10622459 | C2 | semidirect |
| 9. #10622450 | C2 | semidirect |
| 11. #10622379 | C2 | semidirect |
| 14. C11×C4⋊Q8 | C22 | semidirect |
| 25. #66943 | C22 | semidirect |
| 31. #66922 | C22 | semidirect |
| 32. C11×#106 | C22 | semidirect |
| 33. C11×C4⋊C8 | C22 | semidirect |
| 37. #66882 | C22 | semidirect |
| 38. Dic11⋊C8 | C22 | semidirect |
| 40. #66872 | C22 | semidirect |
| 41. #66871 | C22 | semidirect |
| 42. C4⋊(C11⋊C8) | C22 | semidirect |
| 50. D4×D11 | Q8 | semidirect |
| 122. #476 | D11 | semidirect |
| 154. C4⋊Q8 | C2×D11 | semidirect |
| 173. #106 | C2×D11 | semidirect |
| 176. C4⋊C8 | C2×D11 | semidirect |
| 226. C11 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623259 | 2 |
| C4×D4×D11 | 2 |
| C11×#476 | 2 |
| #10622697 | 2 |
| #10622620 | 2 |
| #10622484 | 2 |
| #10622474 | 2 |
| #10622459 | 2 |
| #10622450 | 2 |
| #10622383 | 2 |
| #10622379 | 2 |
| #3077 | 11 |