Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
558 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. #21444488 | C2 | semidirect |
| 3. #21444111 | C2 | semidirect |
| 4. C61×#1837 | C2 | semidirect |
| 78. #1837 | D61 | semidirect |
| 95. C61 | #9780 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840139 | 2 |
| #21444488 | 2 |
| #21444111 | 2 |
| C61×#1837 | 2 |
| #9780 | 61 |