Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#16813670 | C2 | semidirect |
| 2. C2×#16813653 | C2 | semidirect |
| 3. C2×#16813644 | C2 | semidirect |
| 4. #20299179 | C2 | semidirect |
| 5. #20298763 | C2 | semidirect |
| 6. #20298755 | C2 | semidirect |
| 7. #20298746 | C2 | semidirect |
| 8. #20298738 | C2 | semidirect |
| 9. #20298597 | C2 | semidirect |
| 10. #20298564 | C2 | semidirect |
| 11. C2×#103×C113 | C2 | semidirect |
| 54. #14268647 | D4 | semidirect |
| 88. C2×Q8×C113 | D4 | semidirect |
| 170. C113 | #3013 | semidirect |
| 180. C2×#103 | D113 | semidirect |
| 234. C2×Q8 | D452 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813670 | 2 |
| C2×#16813653 | 2 |
| C2×#16813644 | 2 |
| #20299179 | 2 |
| #20298763 | 2 |
| #20298755 | 2 |
| #20298746 | 2 |
| #20298738 | 2 |
| #20298597 | 2 |
| #20298564 | 2 |
| C2×#103×C113 | 2 |
| #3013 | 113 |