Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 12. #16839484 | C4 | semidirect |
| 13. #16839484 | C4 | semidirect |
| 14. #16839483 | C4 | semidirect |
| 15. C8×#92418 | C4 | semidirect |
| 120. C61 | #8803 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21444122 | 2 |
| #21443692 | 2 |
| #21443690 | 2 |
| #21443685 | 2 |
| #21443684 | 2 |
| C61×#1291 | 2 |
| #8803 | 61 |