Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
366 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 10. #16839587 | C4 | semidirect |
| 11. C16×Dic61 | C4 | semidirect |
| 51. #11758185 | C42 | semidirect |
| 84. Dic61 | #366 | semidirect |
| 104. C61 | C4×#366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839587 | 2 |
| C2×C16×Dic61 | 2 |
| #107×Dic61 | 2 |
| #21443911 | 2 |
| C61×#1380 | 2 |
| C4×#366 | 61 |