Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
448 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#14268637 | C2 | semidirect |
| 5. #20298872 | C2 | direct (N × H) |
| 6. C2×#16813557 | C2 | semidirect |
| 7. C2×#16813540 | C2 | semidirect |
| 8. C2×#101×C113 | C2 | semidirect |
| 20. C2×#14268637 | C22 | semidirect |
| 29. #16813557 | C22 | semidirect |
| 30. #16813540 | C22 | semidirect |
| 34. #101×C113 | C22 | semidirect |
| 130. C2×C113 | #473 | semidirect |
| 134. C113 | C2×#473 | semidirect |
| 142. C2×#101 | D113 | semidirect |
| 168. #101 | C2×D113 | semidirect |
| 265. C2 | #20298872 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| C2×#16813653 | 2 |
| C22×#14268637 | 2 |
| C2×#16813630 | 2 |
| #20298872 | 2 |
| C2×#16813557 | 2 |
| C2×#16813540 | 2 |
| C2×#101×C113 | 2 |
| C2×#473 | 113 |