Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 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×#67043 | C2 | semidirect |
| 2. C2×C11×#131 | C2 | semidirect |
| 3. #10623284 | C2 | direct (N × H) |
| 4. C2×#66962 | C2 | semidirect |
| 5. C22×Dic44 | C2 | semidirect |
| 6. C2×#66957 | C2 | semidirect |
| 9. #67043 | C22 | semidirect |
| 14. C11×#131 | C22 | semidirect |
| 17. #66962 | C22 | semidirect |
| 20. C2×Dic44 | C22 | semidirect |
| 21. #66957 | C22 | semidirect |
| 74. C2×#131 | D11 | semidirect |
| 98. #131 | C2×D11 | semidirect |
| 102. C2×C11 | #578 | semidirect |
| 130. C11 | C2×#578 | semidirect |
| 161. C2 | #10623284 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#67043 | 2 |
| C2×C11×#131 | 2 |
| #10623284 | 2 |
| C2×#66962 | 2 |
| C22×Dic44 | 2 |
| C2×#66957 | 2 |
| C2×#578 | 11 |