Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#16813655 | C2 | semidirect |
| 2. #20299257 | C2 | semidirect |
| 3. #20298982 | C2 | semidirect |
| 4. #20298844 | C2 | semidirect |
| 5. #20298821 | C2 | semidirect |
| 6. #20298756 | C2 | semidirect |
| 7. #20298745 | C2 | semidirect |
| 8. C4×Dic452 | C2 | semidirect |
| 9. #436×C113 | C2 | semidirect |
| 50. Dic452 | D4 | semidirect |
| 118. C113 | #3277 | semidirect |
| 127. #436 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| #20299257 | 2 |
| #20298982 | 2 |
| #20298844 | 2 |
| #20298821 | 2 |
| #20298756 | 2 |
| #20298745 | 2 |
| C4×Dic452 | 2 |
| #436×C113 | 2 |
| #3277 | 113 |