Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
382 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 93 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. #21443761 | C2 | semidirect |
| 4. #21443760 | C2 | semidirect |
| 5. C61×#1323 | C2 | semidirect |
| 123. #1323 | D61 | semidirect |
| 142. C61 | #11443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #424×D61 | 2 |
| #21447428 | 2 |
| #21443761 | 2 |
| #21443760 | 2 |
| C61×#1323 | 2 |
| #11443 | 61 |