Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
452 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 97 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. #21445829 | C2 | semidirect |
| 2. #21444591 | C2 | semidirect |
| 3. #21444468 | C2 | semidirect |
| 4. #21444379 | C2 | semidirect |
| 5. #21444140 | C2 | semidirect |
| 6. #21443679 | C2 | semidirect |
| 218. C61 | #10465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21445829 | 2 |
| #21444591 | 2 |
| #21444468 | 2 |
| #21444379 | 2 |
| #21444140 | 2 |
| #21443679 | 2 |
| C61×#3036 | 2 |
| #10465 | 61 |