Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
934 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 1. #21459629 | C2 | semidirect |
| 3. #21444860 | C2 | semidirect |
| 5. #21444330 | C2 | semidirect |
| 6. #21444163 | C2 | semidirect |
| 214. C61 | #18188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21459629 | 2 |
| #21455918 | 2 |
| #21444860 | 2 |
| #21444758 | 2 |
| #21444330 | 2 |
| #21444163 | 2 |
| C61×#2398 | 2 |
| #18188 | 61 |