Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
478 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 111 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. #21444378 | C2 | semidirect |
| 3. #21444111 | C2 | semidirect |
| 4. C61×#1835 | C2 | semidirect |
| 8. #16840142 | C4 | semidirect |
| 9. #16840139 | C4 | semidirect |
| 10. #16840135 | C4 | semidirect |
| 91. #1835 | D61 | semidirect |
| 110. C61 | #9760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456247 | 2 |
| #21444378 | 2 |
| #21444111 | 2 |
| C61×#1835 | 2 |
| #9760 | 61 |