Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
468 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #21445919 | C2 | semidirect |
| 4. #21445888 | C2 | semidirect |
| 5. #21443707 | C2 | semidirect |
| 6. #21443667 | C2 | semidirect |
| 10. #16840095 | C4 | semidirect |
| 11. #16840090 | C4 | semidirect |
| 13. #16840078 | C4 | semidirect |
| 14. #16840073 | C4 | semidirect |
| 264. C61 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455728 | 2 |
| #21454867 | 2 |
| #21445919 | 2 |
| #21445888 | 2 |
| #21443707 | 2 |
| #21443667 | 2 |
| C61×#1501 | 2 |
| #9038 | 61 |