Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
380 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 83 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. #21447377 | C2 | semidirect |
| 2. #21447227 | C2 | semidirect |
| 4. #21443645 | C2 | semidirect |
| 5. #21443642 | C2 | semidirect |
| 211. C61 | #7811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447377 | 2 |
| #21447227 | 2 |
| #21447222 | 2 |
| #21443645 | 2 |
| #21443642 | 2 |
| #21443640 | 2 |
| C61×#2808 | 2 |
| #7811 | 61 |