Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×#16813653 | C2 | semidirect |
| 2. C2×#16813628 | C2 | semidirect |
| 4. #20299172 | C2 | semidirect |
| 5. #20298855 | C2 | semidirect |
| 6. #20298847 | C2 | semidirect |
| 7. #20298838 | C2 | semidirect |
| 8. #20298830 | C2 | semidirect |
| 9. #20298638 | C2 | semidirect |
| 10. #20298595 | C2 | semidirect |
| 11. C2×#103×C113 | C2 | semidirect |
| 58. #14268631 | D4 | semidirect |
| 144. C113 | #3063 | semidirect |
| 155. C2×#103 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| C2×#16813628 | 2 |
| #20299179 | 2 |
| #20299172 | 2 |
| #20298855 | 2 |
| #20298847 | 2 |
| #20298838 | 2 |
| #20298830 | 2 |
| #20298638 | 2 |
| #20298595 | 2 |
| C2×#103×C113 | 2 |
| #3063 | 113 |