Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
622 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 16. #16839519 | C4 | semidirect |
| 17. #16839518 | C4 | semidirect |
| 18. C61×H(3,ℤ/4) | C4 | semidirect |
| 176. H(3,ℤ/4) | #6923 | semidirect |
| 178. C61 | #11286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D61⋊#430 | 2 |
| #21461527 | 2 |
| #21461495 | 2 |
| #21461481 | 2 |
| H(3,ℤ/4)×D61 | 2 |
| #11286 | 61 |