Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299314 | C2 | semidirect |
| 2. #20299251 | C2 | semidirect |
| 3. #20298924 | C2 | semidirect |
| 4. #20298918 | C2 | semidirect |
| 5. #20298885 | C2 | semidirect |
| 6. #20298875 | C2 | semidirect |
| 7. #20298852 | C2 | semidirect |
| 8. C4×D904 | C2 | semidirect |
| 9. #20298677 | C2 | semidirect |
| 10. #20298637 | C2 | semidirect |
| 11. #498×C113 | C2 | semidirect |
| 100. C8×C113 | #41 | semidirect |
| 128. C113 | #3354 | semidirect |
| 131. #498 | D113 | semidirect |
| 229. C8 | #14268648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299314 | 2 |
| #20299251 | 2 |
| #20298924 | 2 |
| #20298918 | 2 |
| #20298885 | 2 |
| #20298875 | 2 |
| #20298852 | 2 |
| C4×D904 | 2 |
| #20298677 | 2 |
| #20298637 | 2 |
| #498×C113 | 2 |
| #3354 | 113 |