Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
292 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #20299561 | C2 | semidirect |
| 4. C2×#16813676 | C2 | semidirect |
| 5. #20299473 | C2 | semidirect |
| 6. #20299470 | C2 | semidirect |
| 12. #16813687 | C4 | semidirect |
| 13. #16813686 | C4 | semidirect |
| 14. #16813685 | C4 | semidirect |
| 15. #16813684 | C4 | semidirect |
| 22. #16813630 | C4 | semidirect |
| 23. #16813629 | C4 | semidirect |
| 25. #16813628 | C4 | semidirect |
| 30. #131×C113 | C4 | semidirect |
| 128. C113 | #1765 | semidirect |
| 142. #131 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D113⋊#104 | 2 |
| #20299588 | 2 |
| #20299561 | 2 |
| C2×#16813676 | 2 |
| #20299473 | 2 |
| #20299470 | 2 |
| #131×D113 | 2 |
| #1765 | 113 |