Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
396 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 3. #21460812 | C2 | semidirect |
| 4. #21460811 | C2 | semidirect |
| 186. C61 | #11892 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840657 | 2 |
| #21461698 | 2 |
| #21460812 | 2 |
| #21460811 | 2 |
| #467×D61 | 2 |
| #11892 | 61 |