Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
214 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. #21448071 | C2 | semidirect |
| 5. #21443894 | C2 | semidirect |
| 6. #21443857 | C2 | semidirect |
| 7. C61×#1358 | C2 | semidirect |
| 108. #1358 | D61 | semidirect |
| 127. C61 | #12437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448071 | 2 |
| #21447901 | 2 |
| #21447897 | 2 |
| #21447655 | 2 |
| #21443894 | 2 |
| #21443857 | 2 |
| C61×#1358 | 2 |
| #12437 | 61 |