Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 123 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. #21447575 | C2 | semidirect |
| 3. #21443861 | C2 | semidirect |
| 4. C61×#1564 | C2 | semidirect |
| 15. C4⋊#11758185 | C22 | semidirect |
| 19. C61×#334 | C22 | semidirect |
| 135. #1564 | D61 | semidirect |
| 156. #334 | C2×D61 | semidirect |
| 157. C61 | #11926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840146 | 2 |
| #21447575 | 2 |
| #21443861 | 2 |
| C61×#1564 | 2 |
| #11926 | 61 |