Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
426 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 4. #21443721 | C2 | semidirect |
| 5. #21443720 | C2 | semidirect |
| 6. #21443677 | C2 | semidirect |
| 7. C61×#1286 | C2 | semidirect |
| 165. #1286 | D61 | semidirect |
| 187. C61 | #8770 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448794 | 2 |
| #21445808 | 2 |
| #21444139 | 2 |
| #21443721 | 2 |
| #21443720 | 2 |
| #21443677 | 2 |
| C61×#1286 | 2 |
| #8770 | 61 |