Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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. #20298498 | C2 | semidirect |
| 3. #20298492 | C2 | semidirect |
| 4. #20298486 | C2 | semidirect |
| 5. #20298474 | C2 | semidirect |
| 6. #20298454 | C2 | semidirect |
| 7. #379×C113 | C2 | semidirect |
| 9. C22×C4×D113 | C22 | semidirect |
| 10. #16813591 | C4 | semidirect |
| 11. C2×#14268626 | C22 | semidirect |
| 15. C2×#14268624 | C22 | semidirect |
| 16. C2×C4×Dic113 | C22 | semidirect |
| 17. #16813529 | C22 | semidirect |
| 18. #16813529 | C22 | semidirect |
| 33. C22⋊Dic113 | C2×C4 | semidirect |
| 38. C24×C113 | C2×C4 | semidirect |
| 96. C113 | #2375 | semidirect |
| 103. #379 | D113 | semidirect |
| 121. C24 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813591 | 2 |
| #20298498 | 2 |
| #20298492 | 2 |
| #20298486 | 2 |
| #20298474 | 2 |
| #20298454 | 2 |
| #379×C113 | 2 |
| #2375 | 113 |