Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
484 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 6. C22×Dic244 | C4 | semidirect |
| 12. C2×#14519711 | C4 | semidirect |
| 13. C2×#14519702 | C4 | semidirect |
| 185. C61 | #9817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840003 | 2 |
| #21445595 | 2 |
| #21444340 | 2 |
| #21444184 | 2 |
| C61×#1810 | 2 |
| #9817 | 61 |