Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 4. #21444240 | C2 | semidirect |
| 5. #21443708 | C2 | semidirect |
| 6. #21443652 | C2 | semidirect |
| 7. C61×#1994 | C2 | semidirect |
| 10. #16840044 | C4 | semidirect |
| 11. #16840039 | C4 | semidirect |
| 12. #16839969 | C4 | semidirect |
| 13. #16839964 | C4 | semidirect |
| 203. #1994 | D61 | semidirect |
| 238. C61 | #8972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455884 | 2 |
| #21454949 | 2 |
| C4×#14519705 | 2 |
| #21444240 | 2 |
| #21443708 | 2 |
| #21443652 | 2 |
| C61×#1994 | 2 |
| #8972 | 61 |