Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
410 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20298929 | C2 | semidirect |
| 3. #20298856 | C2 | semidirect |
| 4. #20298756 | C2 | semidirect |
| 7. C2×Dic452 | C22 | semidirect |
| 15. #16813554 | C22 | semidirect |
| 16. #16813547 | C22 | semidirect |
| 75. C113 | #3195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813601 | 2 |
| #20298929 | 2 |
| #20298856 | 2 |
| #20298756 | 2 |
| #407×C113 | 2 |
| #3195 | 113 |