Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 2. #20298902 | C2 | semidirect |
| 3. #20298895 | C2 | semidirect |
| 4. #20298885 | C2 | semidirect |
| 5. #20298880 | C2 | semidirect |
| 6. #20298641 | C2 | semidirect |
| 7. C2×#16813553 | C2 | semidirect |
| 8. #20298625 | C2 | semidirect |
| 11. #544×C113 | C2 | semidirect |
| 42. #14268647 | Q8 | semidirect |
| 124. C113 | #3084 | semidirect |
| 125. #544 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299078 | 2 |
| #20298902 | 2 |
| #20298895 | 2 |
| #20298885 | 2 |
| #20298880 | 2 |
| #20298641 | 2 |
| C2×#16813553 | 2 |
| #20298625 | 2 |
| #20298597 | 2 |
| #20298592 | 2 |
| #544×C113 | 2 |
| #3084 | 113 |