Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20299155 | C2 | semidirect |
| 2. #20298970 | C2 | semidirect |
| 3. #20298944 | C2 | semidirect |
| 4. #20298795 | C2 | semidirect |
| 5. #20298749 | C2 | semidirect |
| 6. #20298651 | C2 | semidirect |
| 8. C2×#14268635 | C22 | semidirect |
| 9. #16813622 | C22 | semidirect |
| 10. #16813622 | C22 | semidirect |
| 15. C4×Dic226 | C22 | semidirect |
| 17. C4⋊#11744751 | C22 | semidirect |
| 18. #16813543 | C22 | semidirect |
| 20. C4×#11744751 | C22 | semidirect |
| 71. C2×C4×C113 | SD16 | semidirect |
| 105. C113 | #3208 | semidirect |
| 180. C2×C4 | #14268635 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299155 | 2 |
| #20298970 | 2 |
| #20298944 | 2 |
| #20298795 | 2 |
| #20298749 | 2 |
| #20298651 | 2 |
| C2×#127×C113 | 2 |
| #3208 | 113 |