Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
552 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #21453886 | C2 | semidirect |
| 5. C2×#16839503 | C2 | semidirect |
| 6. #21443701 | C2 | semidirect |
| 7. C2×C61×#330 | C2 | semidirect |
| 189. C2×#330 | D61 | semidirect |
| 220. C61 | #10080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840128 | 2 |
| C2×#16840127 | 2 |
| #21453886 | 2 |
| #21446643 | 2 |
| C2×#16839503 | 2 |
| #21443701 | 2 |
| C2×C61×#330 | 2 |
| #10080 | 61 |