Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
470 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 470 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 |
|---|---|---|
| 2. #21444137 | C2 | semidirect |
| 3. #21443845 | C2 | semidirect |
| 4. #21443821 | C2 | semidirect |
| 5. C4×#100×C61 | C2 | semidirect |
| 186. C4×#100 | D61 | semidirect |
| 215. C61 | #11737 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21451703 | 2 |
| #21444137 | 2 |
| #21443845 | 2 |
| #21443821 | 2 |
| C4×#100×C61 | 2 |
| #11737 | 61 |