Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
390 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 88 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. #21460828 | C2 | semidirect |
| 98. D61 | #1358 | semidirect |
| 109. C61 | C2×#1358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D61⋊#364 | 2 |
| #21460828 | 2 |
| #494×D61 | 2 |
| C2×#1358 | 61 |