Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
440 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #21443838 | C2 | semidirect |
| 5. #21443837 | C2 | semidirect |
| 6. #21443836 | C2 | semidirect |
| 7. C61×#1350 | C2 | semidirect |
| 178. #1350 | D61 | semidirect |
| 204. C61 | #11712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #467×D61 | 2 |
| #21447428 | 2 |
| #341×D61 | 2 |
| #21443838 | 2 |
| #21443837 | 2 |
| #21443836 | 2 |
| C61×#1350 | 2 |
| #11712 | 61 |