Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
812 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#16839900 | C2 | semidirect |
| 2. #21449478 | C2 | semidirect |
| 3. #21446656 | C2 | semidirect |
| 4. #21445755 | C2 | semidirect |
| 5. #21444387 | C2 | semidirect |
| 6. #21443666 | C2 | semidirect |
| 273. C61 | #9948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839900 | 2 |
| #21449478 | 2 |
| #21446656 | 2 |
| #21445755 | 2 |
| #21444387 | 2 |
| #21443666 | 2 |
| C61×#3186 | 2 |
| #9948 | 61 |