Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
380 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 79 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. #21447376 | C2 | semidirect |
| 3. #21447228 | C2 | semidirect |
| 4. #21443644 | C2 | semidirect |
| 5. #21443643 | C2 | semidirect |
| 211. C61 | #7811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21453799 | 2 |
| #21447376 | 2 |
| #21447228 | 2 |
| #21443644 | 2 |
| #21443643 | 2 |
| #21443640 | 2 |
| C61×#2071 | 2 |
| #7811 | 61 |