Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
318 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 318 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 |
|---|---|---|
| 13. #16839538 | C4 | semidirect |
| 14. #16839537 | C4 | semidirect |
| 15. C61×#346 | C4 | semidirect |
| 110. #346 | #6923 | semidirect |
| 111. C61 | #12890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461756 | 2 |
| #21461755 | 2 |
| #21460877 | 2 |
| #346×D61 | 2 |
| #12890 | 61 |