Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
882 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 882 conjugacy classes of subgroups — too many to draw. Only its 197 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. #21446115 | C2 | semidirect |
| 3. #21446115 | C2 | semidirect |
| 4. #21446115 | C2 | semidirect |
| 5. #21446110 | C2 | semidirect |
| 6. #21445964 | C2 | semidirect |
| 7. C61×#1840 | C2 | semidirect |
| 154. #1840 | D61 | semidirect |
| 177. C61 | #23359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21449100 | 2 |
| #21446115 | 2 |
| #21446110 | 2 |
| #21445964 | 2 |
| C61×#1840 | 2 |
| #23359 | 61 |