Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
234 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 123. C61 | #13540 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21446573 | 2 |
| #21445992 | 2 |
| #21443935 | 2 |
| #21443931 | 2 |
| #21443930 | 2 |
| #21443898 | 2 |
| C61×#1389 | 2 |
| #13540 | 61 |