Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
538 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 538 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. C2×#16839575 | C2 | semidirect |
| 3. C2×#16839571 | C2 | semidirect |
| 4. #21446712 | C2 | semidirect |
| 5. #21443917 | C2 | semidirect |
| 6. #21443899 | C2 | semidirect |
| 7. C2×C61×#442 | C2 | semidirect |
| 11. C2×#14519721 | C4 | semidirect |
| 12. C2×#14519718 | C4 | semidirect |
| 32. C2×Dic244 | C2×C4 | semidirect |
| 34. C2×D488 | C2×C4 | semidirect |
| 43. C2×#11758185 | C2×C4 | semidirect |
| 174. C2×#442 | D61 | semidirect |
| 205. C61 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840198 | 2 |
| C2×#16839575 | 2 |
| C2×#16839571 | 2 |
| #21446712 | 2 |
| #21443917 | 2 |
| #21443899 | 2 |
| C2×C61×#442 | 2 |
| #13037 | 61 |