Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
682 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 111 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. #21446758 | C2 | semidirect |
| 3. #21444517 | C2 | semidirect |
| 4. #21444435 | C2 | semidirect |
| 6. #21444162 | C2 | semidirect |
| 237. C61 | #8461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21459681 | 2 |
| #21446758 | 2 |
| #21444517 | 2 |
| #21444435 | 2 |
| #21444430 | 2 |
| #21444162 | 2 |
| C61×#1551 | 2 |
| #8461 | 61 |