Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20299229 | C2 | semidirect |
| 3. #20298907 | C2 | semidirect |
| 4. #20298896 | C2 | semidirect |
| 5. #20298886 | C2 | semidirect |
| 6. #20298881 | C2 | semidirect |
| 7. #20298640 | C2 | semidirect |
| 8. C2×#16813553 | C2 | semidirect |
| 9. #20298626 | C2 | semidirect |
| 64. #41×C113 | Q8 | semidirect |
| 124. C113 | #3084 | semidirect |
| 166. #41 | Dic226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299229 | 2 |
| #20299081 | 2 |
| #20298907 | 2 |
| #20298896 | 2 |
| #20298886 | 2 |
| #20298881 | 2 |
| #20298640 | 2 |
| C2×#16813553 | 2 |
| #20298626 | 2 |
| #20298594 | 2 |
| #417×C113 | 2 |
| #3084 | 113 |