Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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×#16813587 | C2 | semidirect |
| 3. #20298911 | C2 | semidirect |
| 4. #20298892 | C2 | semidirect |
| 5. #20298797 | C2 | semidirect |
| 6. #20298739 | C2 | semidirect |
| 7. #20298736 | C2 | semidirect |
| 8. #20298697 | C2 | semidirect |
| 9. #20298695 | C2 | semidirect |
| 10. #20298652 | C2 | semidirect |
| 11. #480×C113 | C2 | semidirect |
| 111. Dic226 | #41 | semidirect |
| 141. C113 | #3112 | semidirect |
| 145. #480 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299143 | 2 |
| C2×#16813587 | 2 |
| #20298911 | 2 |
| #20298892 | 2 |
| #20298797 | 2 |
| #20298739 | 2 |
| #20298736 | 2 |
| #20298697 | 2 |
| #20298695 | 2 |
| #20298652 | 2 |
| #480×C113 | 2 |
| #3112 | 113 |