Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 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. #10623001 | C2 | semidirect |
| 3. C11×#431 | C2 | semidirect |
| 4. #10622461 | C2 | semidirect |
| 5. #10622344 | C2 | semidirect |
| 6. #10622307 | C2 | semidirect |
| 7. #10622306 | C2 | semidirect |
| 15. C2×#4314 | C22 | semidirect |
| 21. #66922 | C22 | semidirect |
| 22. #66922 | C22 | semidirect |
| 24. C4×Dic22 | C22 | semidirect |
| 25. C11×C4⋊C8 | C22 | semidirect |
| 27. C4×C8×C11 | C22 | semidirect |
| 28. #66885 | C22 | semidirect |
| 66. C2×C4×C11 | SD16 | semidirect |
| 90. #431 | D11 | semidirect |
| 124. C4⋊C8 | C2×D11 | semidirect |
| 127. C4×C8 | C2×D11 | semidirect |
| 162. C11 | #3208 | semidirect |
| 180. C2×C4 | #4314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66927 | 2 |
| #10623001 | 2 |
| C11×#431 | 2 |
| #10622461 | 2 |
| #10622344 | 2 |
| #10622307 | 2 |
| #10622306 | 2 |
| #3208 | 11 |