Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1208 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 1208 conjugacy classes of subgroups — too many to draw. Only its 311 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 |
|---|---|---|
| 1. #21454298 | C2 | semidirect |
| 2. #21447514 | C2 | semidirect |
| 3. #21447504 | C2 | semidirect |
| 8. #16839561 | C22 | semidirect |
| 9. #16839559 | C22 | semidirect |
| 155. C61 | #33371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454298 | 2 |
| #21447514 | 2 |
| #21447504 | 2 |
| C61×#3500 | 2 |
| #33371 | 61 |