Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
270 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 2. #21460842 | C2 | semidirect |
| 3. #21460841 | C2 | semidirect |
| 73. C8×C61 | M32 | semidirect |
| 77. #92418 | M32 | semidirect |
| 110. C61 | #11996 | semidirect |
| 174. C8 | #14519852 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462152 | 2 |
| #21460842 | 2 |
| #21460841 | 2 |
| C82×D61 | 2 |
| #11996 | 61 |