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. #20299563 | C2 | semidirect |
| 4. C2×#16813676 | C2 | semidirect |
| 5. #20299474 | C2 | semidirect |
| 6. #20299468 | C2 | semidirect |
| 9. #16813710 | C4 | semidirect |
| 16. #16813687 | C4 | semidirect |
| 23. #16813546 | C4 | semidirect |
| 24. #16813544 | C4 | semidirect |
| 25. #16813542 | C4 | semidirect |
| 26. #103×C113 | C4 | semidirect |
| 110. C113 | #1765 | semidirect |
| 131. #103 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813710 | 2 |
| C2×#16813687 | 2 |
| #20299563 | 2 |
| C2×#16813676 | 2 |
| #20299474 | 2 |
| #20299468 | 2 |
| #20298593 | 2 |
| #1765 | 113 |