Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21446759 | C2 | semidirect |
| 4. #21444267 | C2 | semidirect |
| 5. #21443718 | C2 | semidirect |
| 6. #21443670 | C2 | semidirect |
| 241. C61 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455895 | 2 |
| #21454958 | 2 |
| #21446759 | 2 |
| #21444267 | 2 |
| #21443718 | 2 |
| #21443670 | 2 |
| C61×#1524 | 2 |
| #9051 | 61 |