Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
294 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 65 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. #21458788 | C2 | semidirect |
| 5. #21443870 | C2 | semidirect |
| 6. #21443790 | C2 | semidirect |
| 7. C61×#1338 | C2 | semidirect |
| 91. Dic244 | SD16 | semidirect |
| 141. #1338 | D61 | semidirect |
| 166. C61 | #12361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21458788 | 2 |
| #21448061 | 2 |
| #21447860 | 2 |
| #21445303 | 2 |
| #21443870 | 2 |
| #21443790 | 2 |
| C61×#1338 | 2 |
| #12361 | 61 |