Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 51 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. #21448097 | C2 | semidirect |
| 3. #21444026 | C2 | semidirect |
| 4. #21444016 | C2 | semidirect |
| 7. C61×#1426 | C2 | semidirect |
| 77. #1426 | D61 | semidirect |
| 95. C61 | #13709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448097 | 2 |
| #21447699 | 2 |
| #21444026 | 2 |
| #21444016 | 2 |
| #21444007 | 2 |
| #21444005 | 2 |
| C61×#1426 | 2 |
| #13709 | 61 |