Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 1. #21446805 | C2 | semidirect |
| 4. #21446243 | C2 | semidirect |
| 5. #21445996 | C2 | semidirect |
| 6. #21443687 | C2 | semidirect |
| 133. C22⋊Dic61 | SD16 | semidirect |
| 281. C61 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21446805 | 2 |
| #21446656 | 2 |
| #21446248 | 2 |
| #21446243 | 2 |
| #21445996 | 2 |
| #21443687 | 2 |
| C61×#3187 | 2 |
| #10565 | 61 |