Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 1. C2×#16813655 | C2 | semidirect |
| 2. C2×#16813630 | C2 | semidirect |
| 4. #20299174 | C2 | semidirect |
| 5. #20298857 | C2 | semidirect |
| 6. #20298845 | C2 | semidirect |
| 7. #20298840 | C2 | semidirect |
| 8. #20298828 | C2 | semidirect |
| 9. #20298592 | C2 | semidirect |
| 10. C2×#16813545 | C2 | semidirect |
| 11. #428×C113 | C2 | semidirect |
| 77. M16×C113 | D4 | semidirect |
| 144. C113 | #3063 | semidirect |
| 153. #428 | D113 | semidirect |
| 210. M16 | D452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813655 | 2 |
| C2×#16813630 | 2 |
| #20299179 | 2 |
| #20299174 | 2 |
| #20298857 | 2 |
| #20298845 | 2 |
| #20298840 | 2 |
| #20298828 | 2 |
| #20298592 | 2 |
| C2×#16813545 | 2 |
| #428×C113 | 2 |
| #3063 | 113 |