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. #10622831 | C2 | semidirect |
| 4. #10622689 | C2 | semidirect |
| 5. #10622688 | C2 | semidirect |
| 6. #10622683 | C2 | semidirect |
| 7. #10622538 | C2 | semidirect |
| 16. C2×#4324 | C22 | semidirect |
| 21. #66922 | C22 | semidirect |
| 22. #66922 | C22 | semidirect |
| 24. C4×Dic22 | C22 | semidirect |
| 25. #66896 | C22 | semidirect |
| 27. C4⋊(C11⋊C8) | C22 | semidirect |
| 28. C4×C11⋊C8 | C22 | semidirect |
| 72. C2×C4×C11 | SD16 | semidirect |
| 162. C11 | #3208 | semidirect |
| 180. C2×C4 | #4324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#127 | 2 |
| #10623001 | 2 |
| #10622831 | 2 |
| #10622689 | 2 |
| #10622688 | 2 |
| #10622683 | 2 |
| #10622538 | 2 |
| #3208 | 11 |