Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
396 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 93 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. #21445571 | C2 | semidirect |
| 3. #21444580 | C2 | semidirect |
| 4. #21444434 | C2 | semidirect |
| 7. C61×#1506 | C2 | semidirect |
| 9. #16840158 | C4 | semidirect |
| 10. #16840136 | C4 | semidirect |
| 11. #16840112 | C4 | semidirect |
| 12. #16840110 | C4 | semidirect |
| 177. #1506 | D61 | semidirect |
| 207. C61 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456379 | 2 |
| #21445571 | 2 |
| #21444580 | 2 |
| #21444434 | 2 |
| #21444431 | 2 |
| #21444326 | 2 |
| C61×#1506 | 2 |
| #9766 | 61 |