Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#16813642 | C2 | semidirect |
| 2. C2×#16813630 | C2 | semidirect |
| 3. #20299179 | C2 | semidirect |
| 4. #20299176 | C2 | semidirect |
| 5. #20298847 | C2 | semidirect |
| 6. #20298843 | C2 | semidirect |
| 7. #20298838 | C2 | semidirect |
| 8. #20298833 | C2 | semidirect |
| 9. C2×#16813555 | C2 | semidirect |
| 10. #20298600 | C2 | semidirect |
| 11. #417×C113 | C2 | semidirect |
| 63. C2×#11744751 | D4 | semidirect |
| 153. C113 | #3061 | semidirect |
| 164. #417 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813642 | 2 |
| C2×#16813630 | 2 |
| #20299179 | 2 |
| #20299176 | 2 |
| #20298847 | 2 |
| #20298843 | 2 |
| #20298838 | 2 |
| #20298833 | 2 |
| C2×#16813555 | 2 |
| #20298600 | 2 |
| #417×C113 | 2 |
| #3061 | 113 |