Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20299263 | C2 | semidirect |
| 3. #20298927 | C2 | semidirect |
| 4. #20298880 | C2 | semidirect |
| 5. #20298830 | C2 | semidirect |
| 6. #20298800 | C2 | semidirect |
| 7. #20298738 | C2 | semidirect |
| 8. C4×#14268636 | C2 | semidirect |
| 9. C8×D452 | C2 | semidirect |
| 10. #103×D113 | C2 | semidirect |
| 11. #487×C113 | C2 | semidirect |
| 94. D452 | SD16 | semidirect |
| 102. Dic226 | #41 | semidirect |
| 129. C113 | #3298 | semidirect |
| 132. #487 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299263 | 2 |
| #20299251 | 2 |
| #20298927 | 2 |
| #20298880 | 2 |
| #20298830 | 2 |
| #20298800 | 2 |
| #20298738 | 2 |
| C4×#14268636 | 2 |
| C8×D452 | 2 |
| #103×D113 | 2 |
| #487×C113 | 2 |
| #3298 | 113 |