Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
460 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 105 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. #21445855 | C2 | semidirect |
| 4. #21443695 | C2 | semidirect |
| 178. C61 | #8613 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839834 | 2 |
| #21445855 | 2 |
| #21444157 | 2 |
| #21443695 | 2 |
| C61×#1465 | 2 |
| #8613 | 61 |