Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
524 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #20298482 | C2 | semidirect |
| 4. C4×#14268626 | C2 | semidirect |
| 6. #20298444 | C2 | semidirect |
| 7. C43×C113 | C2 | semidirect |
| 9. #16813579 | C4 | semidirect |
| 76. C113 | #2298 | semidirect |
| 83. C43 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813579 | 2 |
| #20298489 | 2 |
| #20298482 | 2 |
| C4×#14268626 | 2 |
| C4×#14268624 | 2 |
| #20298444 | 2 |
| C43×C113 | 2 |
| #2298 | 113 |