Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#4314 | C2 | semidirect |
| 3. #10623057 | C2 | semidirect |
| 4. #10623052 | C2 | semidirect |
| 5. C11×#424 | C2 | semidirect |
| 6. #10622733 | C2 | semidirect |
| 7. #10622726 | C2 | semidirect |
| 8. #10622457 | C2 | semidirect |
| 9. #10622454 | C2 | semidirect |
| 26. #66928 | C22 | semidirect |
| 28. #66922 | C22 | semidirect |
| 29. C11×C4⋊C8 | C22 | semidirect |
| 30. #66885 | C22 | semidirect |
| 31. #66880 | C22 | semidirect |
| 32. #66880 | C22 | semidirect |
| 103. #424 | D11 | semidirect |
| 140. C4⋊C8 | C2×D11 | semidirect |
| 183. C11 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66961 | 2 |
| C22×#4314 | 2 |
| #10623057 | 2 |
| #10623052 | 2 |
| C11×#424 | 2 |
| #10622733 | 2 |
| #10622726 | 2 |
| #10622457 | 2 |
| #10622454 | 2 |
| #3042 | 11 |