Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. Q8×D452 | C2 | semidirect |
| 3. #20298950 | C2 | semidirect |
| 4. #20298941 | C2 | semidirect |
| 5. #20298845 | C2 | semidirect |
| 6. #20298804 | C2 | semidirect |
| 7. #20298738 | C2 | semidirect |
| 8. C4×#14268634 | C2 | semidirect |
| 9. #20298675 | C2 | semidirect |
| 10. #20298605 | C2 | semidirect |
| 11. #477×C113 | C2 | semidirect |
| 127. C113 | #3329 | semidirect |
| 132. #477 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299314 | 2 |
| Q8×D452 | 2 |
| #20298950 | 2 |
| #20298941 | 2 |
| #20298845 | 2 |
| #20298804 | 2 |
| #20298738 | 2 |
| C4×#14268634 | 2 |
| #20298675 | 2 |
| #20298605 | 2 |
| #477×C113 | 2 |
| #3329 | 113 |