Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
490 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 79 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. #21446283 | C2 | semidirect |
| 3. #21446255 | C2 | semidirect |
| 4. #21446026 | C2 | semidirect |
| 5. #21444178 | C2 | semidirect |
| 6. #21443725 | C2 | semidirect |
| 7. C61×#1519 | C2 | semidirect |
| 220. #1519 | D61 | semidirect |
| 253. C61 | #10560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456616 | 2 |
| #21446283 | 2 |
| #21446255 | 2 |
| #21446026 | 2 |
| #21444178 | 2 |
| #21443725 | 2 |
| C61×#1519 | 2 |
| #10560 | 61 |