Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
396 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 76 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. #21462727 | C2 | semidirect |
| 2. #21461293 | C2 | semidirect |
| 5. #21460676 | C2 | semidirect |
| 6. #21460644 | C2 | semidirect |
| 191. C61 | #9284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462727 | 2 |
| #21461293 | 2 |
| #21461290 | 2 |
| #21461180 | 2 |
| #21460676 | 2 |
| #21460644 | 2 |
| #21456958 | 2 |
| #9284 | 61 |