Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
552 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20298492 | C2 | semidirect |
| 3. #20298492 | C2 | semidirect |
| 4. #20298479 | C2 | semidirect |
| 6. C4×#14268626 | C2 | semidirect |
| 7. C22⋊C4×Dic113 | C2 | semidirect |
| 8. C22⋊C4×Dic113 | C2 | semidirect |
| 12. #16813603 | C4 | semidirect |
| 36. C22×Dic113 | C2×C4 | semidirect |
| 42. #14268626 | C2×C4 | semidirect |
| 46. C22⋊Dic113 | C2×C4 | semidirect |
| 127. C113 | #2374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813603 | 2 |
| #20298492 | 2 |
| #20298479 | 2 |
| #20298478 | 2 |
| C4×#14268626 | 2 |
| C22⋊C4×Dic113 | 2 |
| #390×C113 | 2 |
| #2374 | 113 |