Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
534 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 117 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. #21446809 | C2 | semidirect |
| 4. #21444577 | C2 | semidirect |
| 6. #21444109 | C2 | semidirect |
| 7. C61×#1548 | C2 | semidirect |
| 131. #92418 | #100 | semidirect |
| 153. #1548 | D61 | semidirect |
| 179. C61 | #9805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840136 | 2 |
| #21446809 | 2 |
| #21446658 | 2 |
| #21444577 | 2 |
| #21444486 | 2 |
| #21444109 | 2 |
| C61×#1548 | 2 |
| #9805 | 61 |