Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
514 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 514 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. #21454856 | C2 | semidirect |
| 3. #21444263 | C2 | semidirect |
| 4. #21444171 | C2 | semidirect |
| 5. #21443688 | C2 | semidirect |
| 6. #21443670 | C2 | semidirect |
| 7. C61×#1527 | C2 | semidirect |
| 221. #1527 | D61 | semidirect |
| 259. C61 | #9243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839974 | 2 |
| #21454856 | 2 |
| #21444263 | 2 |
| #21444171 | 2 |
| #21443688 | 2 |
| #21443670 | 2 |
| C61×#1527 | 2 |
| #9243 | 61 |