Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1054 conjugacy classes of subgroups; only the 403 normal subgroups are shown.
This group has 1054 conjugacy classes of subgroups — too many to draw. Only its 403 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 |
|---|---|---|
| 8. C4×Dic244 | C4 | semidirect |
| 53. Dic244 | C42 | semidirect |
| 100. C61 | #20507 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic244 | 2 |
| #21448182 | 2 |
| C4×#14519711 | 2 |
| #21445650 | 2 |
| C61×#1726 | 2 |
| #20507 | 61 |