Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 2. #20298998 | C2 | semidirect |
| 3. #20298976 | C2 | semidirect |
| 4. #20298965 | C2 | semidirect |
| 8. #20298706 | C2 | semidirect |
| 9. C4×#14268637 | C2 | semidirect |
| 11. #441×C113 | C2 | semidirect |
| 104. C113 | #3177 | semidirect |
| 113. #441 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299206 | 2 |
| #20298998 | 2 |
| #20298976 | 2 |
| #20298965 | 2 |
| #20298857 | 2 |
| #20298853 | 2 |
| #20298838 | 2 |
| #20298706 | 2 |
| C4×#14268637 | 2 |
| #20298555 | 2 |
| #441×C113 | 2 |
| #3177 | 113 |