Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
536 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #21454903 | C2 | semidirect |
| 4. #21444162 | C2 | semidirect |
| 5. #21443676 | C2 | semidirect |
| 6. #21443674 | C2 | semidirect |
| 220. C61 | #9458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454903 | 2 |
| #21450822 | 2 |
| #21444533 | 2 |
| #21444162 | 2 |
| #21443676 | 2 |
| #21443674 | 2 |
| C61×#1555 | 2 |
| #9458 | 61 |