Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
432 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #21444593 | C2 | semidirect |
| 5. #21443722 | C2 | semidirect |
| 6. #21443664 | C2 | semidirect |
| 7. C61×#1940 | C2 | semidirect |
| 160. #1940 | D61 | semidirect |
| 189. C61 | #8878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454538 | 2 |
| #21444593 | 2 |
| #21444313 | 2 |
| #21444217 | 2 |
| #21443722 | 2 |
| #21443664 | 2 |
| C61×#1940 | 2 |
| #8878 | 61 |