Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20299292 | C2 | semidirect |
| 2. #20298999 | C2 | semidirect |
| 3. #20298922 | C2 | semidirect |
| 4. #20298918 | C2 | semidirect |
| 5. #20298897 | C2 | semidirect |
| 6. #20298835 | C2 | semidirect |
| 7. #20298834 | C2 | semidirect |
| 8. #20298680 | C2 | semidirect |
| 9. C8×C22⋊D113 | C2 | semidirect |
| 10. #107×D113 | C2 | semidirect |
| 11. #427×C113 | C2 | semidirect |
| 121. C113 | #3339 | semidirect |
| 131. #427 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299292 | 2 |
| #20298999 | 2 |
| #20298922 | 2 |
| #20298918 | 2 |
| #20298897 | 2 |
| #20298835 | 2 |
| #20298834 | 2 |
| #20298680 | 2 |
| C8×C22⋊D113 | 2 |
| #107×D113 | 2 |
| #427×C113 | 2 |
| #3339 | 113 |