Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20299327 | C2 | semidirect |
| 3. #20298954 | C2 | semidirect |
| 5. #20298901 | C2 | semidirect |
| 6. #20298883 | C2 | semidirect |
| 7. #20298822 | C2 | semidirect |
| 9. C8×Dic226 | C2 | semidirect |
| 10. #20298683 | C2 | semidirect |
| 11. C4×Q16×C113 | C2 | semidirect |
| 118. C113 | #3365 | semidirect |
| 128. C4×Q16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299333 | 2 |
| #20299327 | 2 |
| #20298954 | 2 |
| #20298945 | 2 |
| #20298901 | 2 |
| #20298883 | 2 |
| #20298822 | 2 |
| #20298798 | 2 |
| C8×Dic226 | 2 |
| #20298683 | 2 |
| C4×Q16×C113 | 2 |
| #3365 | 113 |