Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
374 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20298950 | C2 | semidirect |
| 3. #20298939 | C2 | semidirect |
| 4. #20298880 | C2 | semidirect |
| 5. #20298854 | C2 | semidirect |
| 6. #20298808 | C2 | semidirect |
| 7. #20298753 | C2 | semidirect |
| 8. C4×#14268637 | C2 | semidirect |
| 10. #20298606 | C2 | semidirect |
| 122. C113 | #3328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic226 | 2 |
| #20298950 | 2 |
| #20298939 | 2 |
| #20298880 | 2 |
| #20298854 | 2 |
| #20298808 | 2 |
| #20298753 | 2 |
| C4×#14268637 | 2 |
| #20298676 | 2 |
| #20298606 | 2 |
| #556×C113 | 2 |
| #3328 | 113 |