Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×#16813546 | C2 | semidirect |
| 5. #20298361 | C2 | semidirect |
| 6. #20298360 | C2 | semidirect |
| 7. C2×#103×C113 | C2 | semidirect |
| 14. #16813598 | C4 | semidirect |
| 132. C113 | #1894 | semidirect |
| 136. C2×#103 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268630 | 2 |
| C2×#16813598 | 2 |
| C2×#16813546 | 2 |
| #20298455 | 2 |
| #20298361 | 2 |
| #20298360 | 2 |
| C2×#103×C113 | 2 |
| #1894 | 113 |