Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
422 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 205 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. #20298670 | C2 | semidirect |
| 2. D4×#11744751 | C2 | semidirect |
| 3. #20298659 | C2 | semidirect |
| 4. #20298565 | C2 | semidirect |
| 5. C2×C22⋊#11744751 | C2 | semidirect |
| 7. C2×#14268631 | C22 | semidirect |
| 9. C22×#11744751 | C22 | semidirect |
| 10. C4⋊#11744751 | C22 | semidirect |
| 14. C22⋊#11744751 | C22 | semidirect |
| 15. #16813533 | C22 | semidirect |
| 16. C4×#11744751 | C22 | semidirect |
| 90. C113 | #2977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298670 | 2 |
| D4×#11744751 | 2 |
| #20298659 | 2 |
| #20298565 | 2 |
| C2×C22⋊#11744751 | 2 |
| #525×C113 | 2 |
| #2977 | 113 |