Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20299309 | C2 | semidirect |
| 2. #20299268 | C2 | semidirect |
| 3. #20298961 | C2 | semidirect |
| 4. #20298896 | C2 | semidirect |
| 5. #20298885 | C2 | semidirect |
| 6. #20298792 | C2 | semidirect |
| 7. #20298790 | C2 | semidirect |
| 8. #20298728 | C2 | semidirect |
| 9. #20298707 | C2 | semidirect |
| 10. C4×D904 | C2 | semidirect |
| 11. #486×C113 | C2 | semidirect |
| 96. D452 | #41 | semidirect |
| 130. C113 | #3366 | semidirect |
| 134. #486 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299309 | 2 |
| #20299268 | 2 |
| #20298961 | 2 |
| #20298896 | 2 |
| #20298885 | 2 |
| #20298792 | 2 |
| #20298790 | 2 |
| #20298728 | 2 |
| #20298707 | 2 |
| C4×D904 | 2 |
| #486×C113 | 2 |
| #3366 | 113 |