Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
388 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 3. #21460758 | C2 | semidirect |
| 155. C61 | #11444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462046 | 2 |
| C2×C22⋊#11758187 | 2 |
| #21460758 | 2 |
| C2×#16839790 | 2 |
| #11444 | 61 |