Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 7. #16840167 | C4 | semidirect |
| 8. #16840142 | C4 | semidirect |
| 9. #16840113 | C4 | semidirect |
| 153. C61 | #9765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456405 | 2 |
| #21444582 | 2 |
| #21444433 | 2 |
| #21444330 | 2 |
| C61×#1746 | 2 |
| #9765 | 61 |