Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
158 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 20. #14519683 | Q8 | semidirect |
| 71. C61 | #13660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C16×Dic122 | 2 |
| #21444014 | 2 |
| #21443952 | 2 |
| C4×#14519683 | 2 |
| C61×C4⋊C32 | 2 |
| #13660 | 61 |