Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 162 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×#16813709 | C2 | semidirect |
| 2. #20299640 | C2 | direct (N × H) |
| 3. C2×#16813693 | C2 | semidirect |
| 4. C2×#16813686 | C2 | semidirect |
| 5. C2×C8×#90673 | C2 | semidirect |
| 8. #16813709 | C22 | semidirect |
| 14. #16813693 | C22 | semidirect |
| 15. #16813686 | C22 | semidirect |
| 16. C8×#90673 | C22 | semidirect |
| 18. #16813641 | C4 | semidirect |
| 20. C2×Dic452 | C4 | semidirect |
| 21. C2×#14268635 | C4 | semidirect |
| 23. C2×D8×C113 | C4 | semidirect |
| 44. Dic452 | C2×C4 | semidirect |
| 45. #14268635 | C2×C4 | semidirect |
| 50. D8×C113 | C2×C4 | semidirect |
| 89. C2×C113 | #443 | semidirect |
| 94. C113 | C2×#443 | semidirect |
| 106. C2×D8 | #90673 | semidirect |
| 130. D8 | C2×#90673 | semidirect |
| 185. C2 | #20299640 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813709 | 2 |
| #20299640 | 2 |
| C2×#16813693 | 2 |
| C2×#16813686 | 2 |
| C2×C8×#90673 | 2 |
| C2×#16813641 | 2 |
| C2×#443 | 113 |