Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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. #21445938 | C2 | semidirect |
| 4. #21443716 | C2 | semidirect |
| 5. #21443715 | C2 | semidirect |
| 6. #21443647 | C2 | semidirect |
| 175. C61 | #10629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21446652 | 2 |
| #21445938 | 2 |
| #21444468 | 2 |
| #21443716 | 2 |
| #21443715 | 2 |
| #21443647 | 2 |
| C61×#1540 | 2 |
| #10629 | 61 |