Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20298502 | C2 | semidirect |
| 5. #20298483 | C2 | semidirect |
| 6. #20298482 | C2 | semidirect |
| 8. C4×#14268626 | C2 | semidirect |
| 11. #16813601 | C4 | semidirect |
| 116. C113 | #2332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813601 | 2 |
| #20298502 | 2 |
| #20298492 | 2 |
| #20298486 | 2 |
| #20298483 | 2 |
| #20298482 | 2 |
| #20298461 | 2 |
| C4×#14268626 | 2 |
| C4×C22⋊C4×C113 | 2 |
| #2332 | 113 |