Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
644 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 107 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. #21445754 | C2 | semidirect |
| 3. #21445743 | C2 | semidirect |
| 5. #21443726 | C2 | semidirect |
| 6. #21443695 | C2 | semidirect |
| 28. C61×#451 | C4 | semidirect |
| 30. C61×#448 | C4 | semidirect |
| 262. #451 | Dic61 | semidirect |
| 264. #448 | Dic61 | semidirect |
| 283. C61 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454867 | 2 |
| #21445754 | 2 |
| #21445743 | 2 |
| #21444362 | 2 |
| #21443726 | 2 |
| #21443695 | 2 |
| C61×#3004 | 2 |
| #9519 | 61 |