Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 107 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. #21445949 | C2 | semidirect |
| 3. #21444565 | C2 | semidirect |
| 6. #21443679 | C2 | semidirect |
| 7. C61×#1286 | C2 | semidirect |
| 11. #16839839 | C4 | semidirect |
| 13. #16839827 | C4 | semidirect |
| 169. #1286 | D61 | semidirect |
| 195. C61 | #8678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454530 | 2 |
| #21445949 | 2 |
| #21444565 | 2 |
| #21444380 | 2 |
| #21444378 | 2 |
| #21443679 | 2 |
| C61×#1286 | 2 |
| #8678 | 61 |