Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 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. #20299148 | C2 | semidirect |
| 2. #20298974 | C2 | semidirect |
| 3. #20298944 | C2 | semidirect |
| 4. #20298790 | C2 | semidirect |
| 5. #20298732 | C2 | semidirect |
| 6. #20298651 | C2 | semidirect |
| 7. C2×#127×C113 | C2 | semidirect |
| 9. C2×#14268632 | C22 | semidirect |
| 10. #16813622 | C22 | semidirect |
| 11. #16813619 | C22 | semidirect |
| 16. C4×D452 | C22 | semidirect |
| 17. C4⋊#11744751 | C22 | semidirect |
| 18. #16813543 | C22 | semidirect |
| 20. C4×#11744751 | C22 | semidirect |
| 73. C2×C4×C113 | D8 | semidirect |
| 113. C113 | #3205 | semidirect |
| 115. C2×#127 | D113 | semidirect |
| 193. C2×C4 | #14268632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| #20298974 | 2 |
| #20298944 | 2 |
| #20298790 | 2 |
| #20298732 | 2 |
| #20298651 | 2 |
| C2×#127×C113 | 2 |
| #3205 | 113 |