Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
624 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 624 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. #21447484 | C2 | semidirect |
| 3. #21445782 | C2 | semidirect |
| 4. #21443948 | C2 | semidirect |
| 5. C61×#2980 | C2 | semidirect |
| 8. #16839944 | C4 | semidirect |
| 10. #16839934 | C4 | semidirect |
| 190. #2980 | D61 | semidirect |
| 219. C61 | #13053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455167 | 2 |
| #21447484 | 2 |
| #21445782 | 2 |
| #21443948 | 2 |
| C61×#2980 | 2 |
| #13053 | 61 |