Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
490 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 160 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. #21462025 | C2 | semidirect |
| 3. #21460866 | C2 | semidirect |
| 6. #16840659 | C4 | semidirect |
| 144. C61 | #12602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840659 | 2 |
| #21462025 | 2 |
| #21460866 | 2 |
| C2×#16839716 | 2 |
| #12602 | 61 |