Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
468 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21447490 | C2 | semidirect |
| 3. #21447470 | C2 | semidirect |
| 4. #21445865 | C2 | semidirect |
| 5. C61×#1757 | C2 | semidirect |
| 6. C22×D488 | C4 | semidirect |
| 13. #16839800 | C4 | semidirect |
| 14. #16839768 | C4 | semidirect |
| 166. #1757 | D61 | semidirect |
| 191. C61 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455467 | 2 |
| #21447490 | 2 |
| #21447470 | 2 |
| #21445865 | 2 |
| C61×#1757 | 2 |
| #13231 | 61 |