Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
640 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 105 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. #21456757 | C2 | semidirect |
| 3. #21446764 | C2 | semidirect |
| 4. #21446745 | C2 | semidirect |
| 5. #21444314 | C2 | semidirect |
| 6. #21443669 | C2 | semidirect |
| 7. C61×#3246 | C2 | semidirect |
| 130. #11758194 | SD16 | semidirect |
| 203. #3246 | D61 | semidirect |
| 240. C61 | #10194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456757 | 2 |
| #21456272 | 2 |
| #21446764 | 2 |
| #21446745 | 2 |
| #21444314 | 2 |
| #21443669 | 2 |
| C61×#3246 | 2 |
| #10194 | 61 |