Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
320 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#16813548 | C2 | semidirect |
| 3. #20298444 | C2 | semidirect |
| 4. #423×C113 | C2 | semidirect |
| 6. #16813622 | C4 | semidirect |
| 7. #16813619 | C4 | semidirect |
| 8. #16813610 | C4 | semidirect |
| 28. C4×Dic113 | D4 | semidirect |
| 72. C113 | #1963 | semidirect |
| 74. #423 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| C2×#16813548 | 2 |
| #20298444 | 2 |
| #423×C113 | 2 |
| #1963 | 113 |