Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#14268637 | C2 | semidirect |
| 3. #20299172 | C2 | semidirect |
| 4. #20298757 | C2 | semidirect |
| 5. #20298752 | C2 | semidirect |
| 6. #20298608 | C2 | semidirect |
| 7. #20298594 | C2 | semidirect |
| 8. #20298566 | C2 | semidirect |
| 9. C2×#137×C113 | C2 | semidirect |
| 141. C113 | #3011 | semidirect |
| 143. C2×#137 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813669 | 2 |
| C22×#14268637 | 2 |
| #20299172 | 2 |
| #20298757 | 2 |
| #20298752 | 2 |
| #20298608 | 2 |
| #20298594 | 2 |
| #20298566 | 2 |
| C2×#137×C113 | 2 |
| #3011 | 113 |