Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
368 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21447440 | C2 | semidirect |
| 3. #21443771 | C2 | semidirect |
| 4. #21443754 | C2 | semidirect |
| 5. C61×#2115 | C2 | semidirect |
| 169. #2115 | D61 | semidirect |
| 195. C61 | #11484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454520 | 2 |
| #21447440 | 2 |
| #21443771 | 2 |
| #21443754 | 2 |
| C61×#2115 | 2 |
| #11484 | 61 |