Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
334 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. #20298562 | C2 | semidirect |
| 3. #20298334 | C2 | semidirect |
| 4. #20298331 | C2 | semidirect |
| 5. C2×#95×C113 | C2 | semidirect |
| 6. C2×#14268647 | C4 | semidirect |
| 9. #16813601 | C4 | semidirect |
| 11. #16813596 | C4 | semidirect |
| 16. #16813581 | C4 | semidirect |
| 24. C2×Dic226 | C2×C4 | semidirect |
| 25. C2×D452 | C2×C4 | semidirect |
| 32. C4⋊Dic113 | C2×C4 | semidirect |
| 33. C4⋊Dic113 | C2×C4 | semidirect |
| 120. C113 | #1504 | semidirect |
| 123. C2×#95 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299109 | 2 |
| #20298562 | 2 |
| #20298334 | 2 |
| #20298331 | 2 |
| C2×#95×C113 | 2 |
| #1504 | 113 |