Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #21447612 | C2 | semidirect |
| 3. #21444026 | C2 | semidirect |
| 4. #21444025 | C2 | semidirect |
| 5. #21444009 | C2 | semidirect |
| 6. #21443958 | C2 | semidirect |
| 7. C61×#1419 | C2 | semidirect |
| 85. #1419 | D61 | semidirect |
| 102. C61 | #13717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447919 | 2 |
| #21447612 | 2 |
| #21444026 | 2 |
| #21444025 | 2 |
| #21444009 | 2 |
| #21443958 | 2 |
| C61×#1419 | 2 |
| #13717 | 61 |