Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
162 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 49 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. #21443911 | C2 | semidirect |
| 3. C61×C22⋊C32 | C2 | semidirect |
| 4. C2×D976 | C4 | semidirect |
| 7. #16839588 | C4 | semidirect |
| 72. C22⋊C32 | D61 | semidirect |
| 87. C61 | #7418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447905 | 2 |
| #21443911 | 2 |
| C61×C22⋊C32 | 2 |
| #7418 | 61 |