Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
332 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 3. C2×C16×Dic61 | C2 | semidirect |
| 5. #21446568 | C2 | semidirect |
| 6. #21443912 | C2 | semidirect |
| 7. C61×#1382 | C2 | semidirect |
| 16. #16839565 | C4 | semidirect |
| 17. #16839562 | C4 | semidirect |
| 138. #1382 | D61 | semidirect |
| 160. C61 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839570 | 2 |
| #21447524 | 2 |
| C2×C16×Dic61 | 2 |
| #21446705 | 2 |
| #21446568 | 2 |
| #21443912 | 2 |
| C61×#1382 | 2 |
| #13151 | 61 |