Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
450 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 450 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. #21444413 | C2 | semidirect |
| 4. #21444330 | C2 | semidirect |
| 5. #21443712 | C2 | semidirect |
| 6. #21443691 | C2 | semidirect |
| 10. #16840057 | C4 | semidirect |
| 11. #16840052 | C4 | semidirect |
| 12. #16839972 | C4 | semidirect |
| 13. #16839967 | C4 | semidirect |
| 227. C61 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455981 | 2 |
| #21454839 | 2 |
| #21444413 | 2 |
| #21444330 | 2 |
| #21443712 | 2 |
| #21443691 | 2 |
| C61×#1759 | 2 |
| #9160 | 61 |