Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
380 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. #21443925 | C2 | semidirect |
| 4. #21443921 | C2 | semidirect |
| 9. #16839800 | C4 | semidirect |
| 12. C2×#14519709 | C4 | semidirect |
| 136. C61 | #12873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454414 | 2 |
| #21445865 | 2 |
| #21443925 | 2 |
| #21443921 | 2 |
| C61×#2115 | 2 |
| #12873 | 61 |