Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#66983 | C2 | semidirect |
| 2. C2×C11×C22⋊C8 | C2 | semidirect |
| 3. #10622728 | C2 | semidirect |
| 4. #10622349 | C2 | semidirect |
| 5. #10622345 | C2 | semidirect |
| 8. C22×D44 | C22 | semidirect |
| 9. C22×C8×C11 | C22 | semidirect |
| 13. #66983 | C22 | semidirect |
| 15. C2×C4⋊Dic11 | C22 | semidirect |
| 16. C2×D88 | C22 | semidirect |
| 17. C11×C22⋊C8 | C22 | semidirect |
| 18. #66885 | C22 | semidirect |
| 19. #66882 | C22 | semidirect |
| 44. C23×C11 | D8 | semidirect |
| 69. C2×C22⋊C8 | D11 | semidirect |
| 90. C22×C8 | C2×D11 | semidirect |
| 99. C22⋊C8 | C2×D11 | semidirect |
| 127. C11 | #3186 | semidirect |
| 134. C23 | D88 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66983 | 2 |
| C2×C11×C22⋊C8 | 2 |
| #10622728 | 2 |
| #10622349 | 2 |
| #10622345 | 2 |
| #3186 | 11 |