Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
278 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 15. C61×#367 | C4 | semidirect |
| 16. C61×#366 | C4 | semidirect |
| 101. #367 | Dic61 | semidirect |
| 102. #366 | Dic61 | semidirect |
| 105. C61 | #13170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839592 | 2 |
| C2×#16839537 | 2 |
| #21446568 | 2 |
| #21443914 | 2 |
| C61×#2158 | 2 |
| #13170 | 61 |