Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20299148 | C2 | semidirect |
| 2. #20299132 | C2 | semidirect |
| 3. #20299007 | C2 | semidirect |
| 4. #20298987 | C2 | semidirect |
| 5. #20298963 | C2 | semidirect |
| 6. #20298958 | C2 | semidirect |
| 7. #20298851 | C2 | semidirect |
| 8. #20298844 | C2 | semidirect |
| 9. C4×#14268636 | C2 | semidirect |
| 10. C4×D904 | C2 | semidirect |
| 11. C4×M16×C113 | C2 | semidirect |
| 110. C8×C113 | #41 | semidirect |
| 138. C113 | #3171 | semidirect |
| 149. C4×M16 | D113 | semidirect |
| 248. C8 | #14268647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20299132 | 2 |
| #20299007 | 2 |
| #20298987 | 2 |
| #20298963 | 2 |
| #20298958 | 2 |
| #20298851 | 2 |
| #20298844 | 2 |
| C4×#14268636 | 2 |
| C4×D904 | 2 |
| C4×M16×C113 | 2 |
| #3171 | 113 |