Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
424 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 73 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. #21447494 | C2 | semidirect |
| 3. #21446372 | C2 | semidirect |
| 5. #21446104 | C2 | semidirect |
| 6. #21443948 | C2 | semidirect |
| 223. C61 | #13433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447494 | 2 |
| #21447469 | 2 |
| #21446372 | 2 |
| #21446347 | 2 |
| #21446104 | 2 |
| #21443948 | 2 |
| C61×#3200 | 2 |
| #13433 | 61 |