Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 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. #21447510 | C2 | semidirect |
| 3. #21447470 | C2 | semidirect |
| 4. #21445619 | C2 | semidirect |
| 5. C61×#1813 | C2 | semidirect |
| 6. C22×D488 | C4 | semidirect |
| 12. #16839800 | C4 | semidirect |
| 13. #16839768 | C4 | semidirect |
| 164. #1813 | D61 | semidirect |
| 190. C61 | #13234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455467 | 2 |
| #21447510 | 2 |
| #21447470 | 2 |
| #21445619 | 2 |
| C61×#1813 | 2 |
| #13234 | 61 |