Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
376 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 19. C61×#441 | C4 | semidirect |
| 143. #441 | Dic61 | semidirect |
| 155. C61 | #12827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447585 | 2 |
| C2×#16839578 | 2 |
| #21447539 | 2 |
| #21445943 | 2 |
| #21443935 | 2 |
| #21443920 | 2 |
| C61×#2950 | 2 |
| #12827 | 61 |