Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
446 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 81 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. #21444610 | C2 | semidirect |
| 3. #21444552 | C2 | semidirect |
| 4. #21444487 | C2 | semidirect |
| 5. #21444237 | C2 | semidirect |
| 6. #21443709 | C2 | semidirect |
| 7. C61×#1965 | C2 | semidirect |
| 168. #1965 | D61 | semidirect |
| 199. C61 | #10488 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456737 | 2 |
| #21444610 | 2 |
| #21444552 | 2 |
| #21444487 | 2 |
| #21444237 | 2 |
| #21443709 | 2 |
| C61×#1965 | 2 |
| #10488 | 61 |